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Finding the Third Proportional to 257.13 and 562.63

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Solution

The third proportional to 257.13 and 562.63 is: 1,231.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.13 : 562.63 = 562.63 : x
  2. Step 2: Convert to fraction form
    257.13/562.63 = 562.63/x
  3. Step 3: Cross multiply
    257.13x = 562.63 × 562.63
  4. Step 4: Simplify right side
    257.13x = 316,546.89
  5. Step 5: Solve for x
    x = 316,546.89/257.13
  6. Step 6: Final answer
    x = 1,231.10

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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.