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Finding the Third Proportional to 66,698,174.25 and 144,528,512.63

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Solution

The third proportional to 66,698,174.25 and 144,528,512.63 is: 313,179,351.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,698,174.25 : 144,528,512.63 = 144,528,512.63 : x
  2. Step 2: Convert to fraction form
    66,698,174.25/144,528,512.63 = 144,528,512.63/x
  3. Step 3: Cross multiply
    66,698,174.25x = 144,528,512.63 × 144,528,512.63
  4. Step 4: Simplify right side
    66,698,174.25x = 20,888,490,961,594,784
  5. Step 5: Solve for x
    x = 20,888,490,961,594,784/66,698,174.25
  6. Step 6: Final answer
    x = 313,179,351.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.