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Finding the Third Proportional to 257.55 and 572.70

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Solution

The third proportional to 257.55 and 572.70 is: 1,273.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.55 : 572.70 = 572.70 : x
  2. Step 2: Convert to fraction form
    257.55/572.70 = 572.70/x
  3. Step 3: Cross multiply
    257.55x = 572.70 × 572.70
  4. Step 4: Simplify right side
    257.55x = 327,979.92
  5. Step 5: Solve for x
    x = 327,979.92/257.55
  6. Step 6: Final answer
    x = 1,273.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.