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Finding the Third Proportional to 402.56 and 574.13

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Solution

The third proportional to 402.56 and 574.13 is: 818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.56 : 574.13 = 574.13 : x
  2. Step 2: Convert to fraction form
    402.56/574.13 = 574.13/x
  3. Step 3: Cross multiply
    402.56x = 574.13 × 574.13
  4. Step 4: Simplify right side
    402.56x = 329,619.52
  5. Step 5: Solve for x
    x = 329,619.52/402.56
  6. Step 6: Final answer
    x = 818.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.