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Finding the Third Proportional to 66,963,726 and 143,493,390

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Solution

The third proportional to 66,963,726 and 143,493,390 is: 307,485,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,963,726 : 143,493,390 = 143,493,390 : x
  2. Step 2: Convert to fraction form
    66,963,726/143,493,390 = 143,493,390/x
  3. Step 3: Cross multiply
    66,963,726x = 143,493,390 × 143,493,390
  4. Step 4: Simplify right side
    66,963,726x = 20,590,352,973,692,100
  5. Step 5: Solve for x
    x = 20,590,352,973,692,100/66,963,726
  6. Step 6: Final answer
    x = 307,485,174.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.