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Finding the Third Proportional to 359,755 and 519,743

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Solution

The third proportional to 359,755 and 519,743 is: 750,879.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,755 : 519,743 = 519,743 : x
  2. Step 2: Convert to fraction form
    359,755/519,743 = 519,743/x
  3. Step 3: Cross multiply
    359,755x = 519,743 × 519,743
  4. Step 4: Simplify right side
    359,755x = 270,132,786,049
  5. Step 5: Solve for x
    x = 270,132,786,049/359,755
  6. Step 6: Final answer
    x = 750,879.87

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.