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Finding the Third Proportional to 565.03 and 715.78

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Solution

The third proportional to 565.03 and 715.78 is: 906.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.03 : 715.78 = 715.78 : x
  2. Step 2: Convert to fraction form
    565.03/715.78 = 715.78/x
  3. Step 3: Cross multiply
    565.03x = 715.78 × 715.78
  4. Step 4: Simplify right side
    565.03x = 512,342.80
  5. Step 5: Solve for x
    x = 512,342.80/565.03
  6. Step 6: Final answer
    x = 906.75

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.