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Finding the Third Proportional to 359.88 and 545.20

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Solution

The third proportional to 359.88 and 545.20 is: 825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.88 : 545.20 = 545.20 : x
  2. Step 2: Convert to fraction form
    359.88/545.20 = 545.20/x
  3. Step 3: Cross multiply
    359.88x = 545.20 × 545.20
  4. Step 4: Simplify right side
    359.88x = 297,237.93
  5. Step 5: Solve for x
    x = 297,237.93/359.88
  6. Step 6: Final answer
    x = 825.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.