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Finding the Third Proportional to 442.69 and 565.17

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Solution

The third proportional to 442.69 and 565.17 is: 721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.69 : 565.17 = 565.17 : x
  2. Step 2: Convert to fraction form
    442.69/565.17 = 565.17/x
  3. Step 3: Cross multiply
    442.69x = 565.17 × 565.17
  4. Step 4: Simplify right side
    442.69x = 319,419.25
  5. Step 5: Solve for x
    x = 319,419.25/442.69
  6. Step 6: Final answer
    x = 721.55

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.