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Finding the Third Proportional to 359,655 and 729,942

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Solution

The third proportional to 359,655 and 729,942 is: 1,481,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,655 : 729,942 = 729,942 : x
  2. Step 2: Convert to fraction form
    359,655/729,942 = 729,942/x
  3. Step 3: Cross multiply
    359,655x = 729,942 × 729,942
  4. Step 4: Simplify right side
    359,655x = 532,815,323,364
  5. Step 5: Solve for x
    x = 532,815,323,364/359,655
  6. Step 6: Final answer
    x = 1,481,462.30

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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.