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Finding the Third Proportional to 142,118,600 and 305,792,272

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Solution

The third proportional to 142,118,600 and 305,792,272 is: 657,963,937.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,118,600 : 305,792,272 = 305,792,272 : x
  2. Step 2: Convert to fraction form
    142,118,600/305,792,272 = 305,792,272/x
  3. Step 3: Cross multiply
    142,118,600x = 305,792,272 × 305,792,272
  4. Step 4: Simplify right side
    142,118,600x = 93,508,913,614,921,984
  5. Step 5: Solve for x
    x = 93,508,913,614,921,984/142,118,600
  6. Step 6: Final answer
    x = 657,963,937.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.