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Finding the Third Proportional to 317.57 and 458.71

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Solution

The third proportional to 317.57 and 458.71 is: 662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.57 : 458.71 = 458.71 : x
  2. Step 2: Convert to fraction form
    317.57/458.71 = 458.71/x
  3. Step 3: Cross multiply
    317.57x = 458.71 × 458.71
  4. Step 4: Simplify right side
    317.57x = 210,414.83
  5. Step 5: Solve for x
    x = 210,414.83/317.57
  6. Step 6: Final answer
    x = 662.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.