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Finding the Third Proportional to 509.20 and 807.47

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Solution

The third proportional to 509.20 and 807.47 is: 1,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.20 : 807.47 = 807.47 : x
  2. Step 2: Convert to fraction form
    509.20/807.47 = 807.47/x
  3. Step 3: Cross multiply
    509.20x = 807.47 × 807.47
  4. Step 4: Simplify right side
    509.20x = 652,005.78
  5. Step 5: Solve for x
    x = 652,005.78/509.20
  6. Step 6: Final answer
    x = 1,280.44

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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.