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Finding the Third Proportional to 66,312,751,273.88 and 144,244,182,683.25

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Solution

The third proportional to 66,312,751,273.88 and 144,244,182,683.25 is: 313,761,438,611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,312,751,273.88 : 144,244,182,683.25 = 144,244,182,683.25 : x
  2. Step 2: Convert to fraction form
    66,312,751,273.88/144,244,182,683.25 = 144,244,182,683.25/x
  3. Step 3: Cross multiply
    66,312,751,273.88x = 144,244,182,683.25 × 144,244,182,683.25
  4. Step 4: Simplify right side
    66,312,751,273.88x = 20,806,384,237,958,798,508,032
  5. Step 5: Solve for x
    x = 20,806,384,237,958,798,508,032/66,312,751,273.88
  6. Step 6: Final answer
    x = 313,761,438,611.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.