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Finding the Third Proportional to 257.34 and 563.53

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Solution

The third proportional to 257.34 and 563.53 is: 1,234.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.34 : 563.53 = 563.53 : x
  2. Step 2: Convert to fraction form
    257.34/563.53 = 563.53/x
  3. Step 3: Cross multiply
    257.34x = 563.53 × 563.53
  4. Step 4: Simplify right side
    257.34x = 317,567.47
  5. Step 5: Solve for x
    x = 317,567.47/257.34
  6. Step 6: Final answer
    x = 1,234.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.