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Finding the Third Proportional to 399,079 and 619,604

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Solution

The third proportional to 399,079 and 619,604 is: 961,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,079 : 619,604 = 619,604 : x
  2. Step 2: Convert to fraction form
    399,079/619,604 = 619,604/x
  3. Step 3: Cross multiply
    399,079x = 619,604 × 619,604
  4. Step 4: Simplify right side
    399,079x = 383,909,116,816
  5. Step 5: Solve for x
    x = 383,909,116,816/399,079
  6. Step 6: Final answer
    x = 961,987.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.