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Finding the Third Proportional to 359,278 and 499,542

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Solution

The third proportional to 359,278 and 499,542 is: 694,565.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,278 : 499,542 = 499,542 : x
  2. Step 2: Convert to fraction form
    359,278/499,542 = 499,542/x
  3. Step 3: Cross multiply
    359,278x = 499,542 × 499,542
  4. Step 4: Simplify right side
    359,278x = 249,542,209,764
  5. Step 5: Solve for x
    x = 249,542,209,764/359,278
  6. Step 6: Final answer
    x = 694,565.80

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.