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Finding the Third Proportional to 218,729,956 and 516,332,682

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Solution

The third proportional to 218,729,956 and 516,332,682 is: 1,218,851,973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,729,956 : 516,332,682 = 516,332,682 : x
  2. Step 2: Convert to fraction form
    218,729,956/516,332,682 = 516,332,682/x
  3. Step 3: Cross multiply
    218,729,956x = 516,332,682 × 516,332,682
  4. Step 4: Simplify right side
    218,729,956x = 266,599,438,501,313,120
  5. Step 5: Solve for x
    x = 266,599,438,501,313,120/218,729,956
  6. Step 6: Final answer
    x = 1,218,851,973.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.