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Finding the Third Proportional to 558.75 and 819.13

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Solution

The third proportional to 558.75 and 819.13 is: 1,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.75 : 819.13 = 819.13 : x
  2. Step 2: Convert to fraction form
    558.75/819.13 = 819.13/x
  3. Step 3: Cross multiply
    558.75x = 819.13 × 819.13
  4. Step 4: Simplify right side
    558.75x = 670,965.77
  5. Step 5: Solve for x
    x = 670,965.77/558.75
  6. Step 6: Final answer
    x = 1,200.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.