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Finding the Third Proportional to 546.19 and 625.92

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Solution

The third proportional to 546.19 and 625.92 is: 717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.19 : 625.92 = 625.92 : x
  2. Step 2: Convert to fraction form
    546.19/625.92 = 625.92/x
  3. Step 3: Cross multiply
    546.19x = 625.92 × 625.92
  4. Step 4: Simplify right side
    546.19x = 391,778.19
  5. Step 5: Solve for x
    x = 391,778.19/546.19
  6. Step 6: Final answer
    x = 717.30

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.