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Finding the Third Proportional to 392,289.75 and 527,841.56

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Solution

The third proportional to 392,289.75 and 527,841.56 is: 710,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,289.75 : 527,841.56 = 527,841.56 : x
  2. Step 2: Convert to fraction form
    392,289.75/527,841.56 = 527,841.56/x
  3. Step 3: Cross multiply
    392,289.75x = 527,841.56 × 527,841.56
  4. Step 4: Simplify right side
    392,289.75x = 278,616,715,102.44
  5. Step 5: Solve for x
    x = 278,616,715,102.44/392,289.75
  6. Step 6: Final answer
    x = 710,231.95

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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.