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Finding the Third Proportional to 391,691.25 and 622,527.75

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Solution

The third proportional to 391,691.25 and 622,527.75 is: 989,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,691.25 : 622,527.75 = 622,527.75 : x
  2. Step 2: Convert to fraction form
    391,691.25/622,527.75 = 622,527.75/x
  3. Step 3: Cross multiply
    391,691.25x = 622,527.75 × 622,527.75
  4. Step 4: Simplify right side
    391,691.25x = 387,540,799,520.06
  5. Step 5: Solve for x
    x = 387,540,799,520.06/391,691.25
  6. Step 6: Final answer
    x = 989,403.77

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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.