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Finding the Third Proportional to 251.23 and 545.48

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Solution

The third proportional to 251.23 and 545.48 is: 1,184.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.23 : 545.48 = 545.48 : x
  2. Step 2: Convert to fraction form
    251.23/545.48 = 545.48/x
  3. Step 3: Cross multiply
    251.23x = 545.48 × 545.48
  4. Step 4: Simplify right side
    251.23x = 297,553.20
  5. Step 5: Solve for x
    x = 297,553.20/251.23
  6. Step 6: Final answer
    x = 1,184.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.