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Finding the Third Proportional to 547.50 and 819.19

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Solution

The third proportional to 547.50 and 819.19 is: 1,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.50 : 819.19 = 819.19 : x
  2. Step 2: Convert to fraction form
    547.50/819.19 = 819.19/x
  3. Step 3: Cross multiply
    547.50x = 819.19 × 819.19
  4. Step 4: Simplify right side
    547.50x = 671,068.16
  5. Step 5: Solve for x
    x = 671,068.16/547.50
  6. Step 6: Final answer
    x = 1,225.70

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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.