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Finding the Third Proportional to 399.75 and 562.13

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Solution

The third proportional to 399.75 and 562.13 is: 790.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.75 : 562.13 = 562.13 : x
  2. Step 2: Convert to fraction form
    399.75/562.13 = 562.13/x
  3. Step 3: Cross multiply
    399.75x = 562.13 × 562.13
  4. Step 4: Simplify right side
    399.75x = 315,984.52
  5. Step 5: Solve for x
    x = 315,984.52/399.75
  6. Step 6: Final answer
    x = 790.46

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.