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Finding the Third Proportional to 218,643,934 and 335,273,691

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Solution

The third proportional to 218,643,934 and 335,273,691 is: 514,116,471.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,643,934 : 335,273,691 = 335,273,691 : x
  2. Step 2: Convert to fraction form
    218,643,934/335,273,691 = 335,273,691/x
  3. Step 3: Cross multiply
    218,643,934x = 335,273,691 × 335,273,691
  4. Step 4: Simplify right side
    218,643,934x = 112,408,447,876,763,488
  5. Step 5: Solve for x
    x = 112,408,447,876,763,488/218,643,934
  6. Step 6: Final answer
    x = 514,116,471.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.