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Finding the Third Proportional to 359,005 and 729,782

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Solution

The third proportional to 359,005 and 729,782 is: 1,483,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,005 : 729,782 = 729,782 : x
  2. Step 2: Convert to fraction form
    359,005/729,782 = 729,782/x
  3. Step 3: Cross multiply
    359,005x = 729,782 × 729,782
  4. Step 4: Simplify right side
    359,005x = 532,581,767,524
  5. Step 5: Solve for x
    x = 532,581,767,524/359,005
  6. Step 6: Final answer
    x = 1,483,494.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.