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Finding the Third Proportional to 546.20 and 819.35

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Solution

The third proportional to 546.20 and 819.35 is: 1,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.20 : 819.35 = 819.35 : x
  2. Step 2: Convert to fraction form
    546.20/819.35 = 819.35/x
  3. Step 3: Cross multiply
    546.20x = 819.35 × 819.35
  4. Step 4: Simplify right side
    546.20x = 671,336.98
  5. Step 5: Solve for x
    x = 671,336.98/546.20
  6. Step 6: Final answer
    x = 1,229.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.