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Finding the Third Proportional to 415,932 and 643,759

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Solution

The third proportional to 415,932 and 643,759 is: 996,378.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,932 : 643,759 = 643,759 : x
  2. Step 2: Convert to fraction form
    415,932/643,759 = 643,759/x
  3. Step 3: Cross multiply
    415,932x = 643,759 × 643,759
  4. Step 4: Simplify right side
    415,932x = 414,425,650,081
  5. Step 5: Solve for x
    x = 414,425,650,081/415,932
  6. Step 6: Final answer
    x = 996,378.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.