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Finding the Third Proportional to 615,855 and 980,690

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Solution

The third proportional to 615,855 and 980,690 is: 1,561,654.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,855 : 980,690 = 980,690 : x
  2. Step 2: Convert to fraction form
    615,855/980,690 = 980,690/x
  3. Step 3: Cross multiply
    615,855x = 980,690 × 980,690
  4. Step 4: Simplify right side
    615,855x = 961,752,876,100
  5. Step 5: Solve for x
    x = 961,752,876,100/615,855
  6. Step 6: Final answer
    x = 1,561,654.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.