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Finding the Third Proportional to 359.38 and 749.13

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Solution

The third proportional to 359.38 and 749.13 is: 1,561.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.38 : 749.13 = 749.13 : x
  2. Step 2: Convert to fraction form
    359.38/749.13 = 749.13/x
  3. Step 3: Cross multiply
    359.38x = 749.13 × 749.13
  4. Step 4: Simplify right side
    359.38x = 561,188.27
  5. Step 5: Solve for x
    x = 561,188.27/359.38
  6. Step 6: Final answer
    x = 1,561.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.