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Finding the Third Proportional to 520.92 and 807.61

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Solution

The third proportional to 520.92 and 807.61 is: 1,252.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.92 : 807.61 = 807.61 : x
  2. Step 2: Convert to fraction form
    520.92/807.61 = 807.61/x
  3. Step 3: Cross multiply
    520.92x = 807.61 × 807.61
  4. Step 4: Simplify right side
    520.92x = 652,232.90
  5. Step 5: Solve for x
    x = 652,232.90/520.92
  6. Step 6: Final answer
    x = 1,252.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.