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Finding the Third Proportional to 138,217,743 and 302,469,534

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Solution

The third proportional to 138,217,743 and 302,469,534 is: 661,910,815.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,217,743 : 302,469,534 = 302,469,534 : x
  2. Step 2: Convert to fraction form
    138,217,743/302,469,534 = 302,469,534/x
  3. Step 3: Cross multiply
    138,217,743x = 302,469,534 × 302,469,534
  4. Step 4: Simplify right side
    138,217,743x = 91,487,818,998,177,152
  5. Step 5: Solve for x
    x = 91,487,818,998,177,152/138,217,743
  6. Step 6: Final answer
    x = 661,910,815.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.