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Finding the Third Proportional to 81,157,151 and 165,148,645

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Solution

The third proportional to 81,157,151 and 165,148,645 is: 336,064,962.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,157,151 : 165,148,645 = 165,148,645 : x
  2. Step 2: Convert to fraction form
    81,157,151/165,148,645 = 165,148,645/x
  3. Step 3: Cross multiply
    81,157,151x = 165,148,645 × 165,148,645
  4. Step 4: Simplify right side
    81,157,151x = 27,274,074,945,336,024
  5. Step 5: Solve for x
    x = 27,274,074,945,336,024/81,157,151
  6. Step 6: Final answer
    x = 336,064,962.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.