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Finding the Third Proportional to 257.72 and 560.16

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Solution

The third proportional to 257.72 and 560.16 is: 1,217.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.72 : 560.16 = 560.16 : x
  2. Step 2: Convert to fraction form
    257.72/560.16 = 560.16/x
  3. Step 3: Cross multiply
    257.72x = 560.16 × 560.16
  4. Step 4: Simplify right side
    257.72x = 313,775.02
  5. Step 5: Solve for x
    x = 313,775.02/257.72
  6. Step 6: Final answer
    x = 1,217.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.