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Finding the Third Proportional to 538,740.38 and 806,626.88

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Solution

The third proportional to 538,740.38 and 806,626.88 is: 1,207,718.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,740.38 : 806,626.88 = 806,626.88 : x
  2. Step 2: Convert to fraction form
    538,740.38/806,626.88 = 806,626.88/x
  3. Step 3: Cross multiply
    538,740.38x = 806,626.88 × 806,626.88
  4. Step 4: Simplify right side
    538,740.38x = 650,646,915,472.27
  5. Step 5: Solve for x
    x = 650,646,915,472.27/538,740.38
  6. Step 6: Final answer
    x = 1,207,718.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.