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Finding the Third Proportional to 590.20 and 715.92

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Solution

The third proportional to 590.20 and 715.92 is: 868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.20 : 715.92 = 715.92 : x
  2. Step 2: Convert to fraction form
    590.20/715.92 = 715.92/x
  3. Step 3: Cross multiply
    590.20x = 715.92 × 715.92
  4. Step 4: Simplify right side
    590.20x = 512,544.13
  5. Step 5: Solve for x
    x = 512,544.13/590.20
  6. Step 6: Final answer
    x = 868.42

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.