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Finding the Third Proportional to 251.22 and 545.47

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Solution

The third proportional to 251.22 and 545.47 is: 1,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.22 : 545.47 = 545.47 : x
  2. Step 2: Convert to fraction form
    251.22/545.47 = 545.47/x
  3. Step 3: Cross multiply
    251.22x = 545.47 × 545.47
  4. Step 4: Simplify right side
    251.22x = 297,536.16
  5. Step 5: Solve for x
    x = 297,536.16/251.22
  6. Step 6: Final answer
    x = 1,184.37

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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.