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Finding the Third Proportional to 257.13 and 418.92

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Solution

The third proportional to 257.13 and 418.92 is: 682.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.13 : 418.92 = 418.92 : x
  2. Step 2: Convert to fraction form
    257.13/418.92 = 418.92/x
  3. Step 3: Cross multiply
    257.13x = 418.92 × 418.92
  4. Step 4: Simplify right side
    257.13x = 175,495.54
  5. Step 5: Solve for x
    x = 175,495.54/257.13
  6. Step 6: Final answer
    x = 682.51

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.