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Finding the Third Proportional to 138,217,853 and 302,469,754

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Solution

The third proportional to 138,217,853 and 302,469,754 is: 661,911,251.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,217,853 : 302,469,754 = 302,469,754 : x
  2. Step 2: Convert to fraction form
    138,217,853/302,469,754 = 302,469,754/x
  3. Step 3: Cross multiply
    138,217,853x = 302,469,754 × 302,469,754
  4. Step 4: Simplify right side
    138,217,853x = 91,487,952,084,820,512
  5. Step 5: Solve for x
    x = 91,487,952,084,820,512/138,217,853
  6. Step 6: Final answer
    x = 661,911,251.69

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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.