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Finding the Third Proportional to 615,853.13 and 980,687.25

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Solution

The third proportional to 615,853.13 and 980,687.25 is: 1,561,650.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,853.13 : 980,687.25 = 980,687.25 : x
  2. Step 2: Convert to fraction form
    615,853.13/980,687.25 = 980,687.25/x
  3. Step 3: Cross multiply
    615,853.13x = 980,687.25 × 980,687.25
  4. Step 4: Simplify right side
    615,853.13x = 961,747,482,312.56
  5. Step 5: Solve for x
    x = 961,747,482,312.56/615,853.13
  6. Step 6: Final answer
    x = 1,561,650.73

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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.