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Finding the Third Proportional to 392,288.85 and 527,840.14

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Solution

The third proportional to 392,288.85 and 527,840.14 is: 710,229.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,288.85 : 527,840.14 = 527,840.14 : x
  2. Step 2: Convert to fraction form
    392,288.85/527,840.14 = 527,840.14/x
  3. Step 3: Cross multiply
    392,288.85x = 527,840.14 × 527,840.14
  4. Step 4: Simplify right side
    392,288.85x = 278,615,211,993.13
  5. Step 5: Solve for x
    x = 278,615,211,993.13/392,288.85
  6. Step 6: Final answer
    x = 710,229.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.