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Finding the Third Proportional to 545.44 and 820.03

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Solution

The third proportional to 545.44 and 820.03 is: 1,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.44 : 820.03 = 820.03 : x
  2. Step 2: Convert to fraction form
    545.44/820.03 = 820.03/x
  3. Step 3: Cross multiply
    545.44x = 820.03 × 820.03
  4. Step 4: Simplify right side
    545.44x = 672,451.25
  5. Step 5: Solve for x
    x = 672,451.25/545.44
  6. Step 6: Final answer
    x = 1,232.87

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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.