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Finding the Third Proportional to 327,620 and 700,780

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Solution

The third proportional to 327,620 and 700,780 is: 1,498,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,620 : 700,780 = 700,780 : x
  2. Step 2: Convert to fraction form
    327,620/700,780 = 700,780/x
  3. Step 3: Cross multiply
    327,620x = 700,780 × 700,780
  4. Step 4: Simplify right side
    327,620x = 491,092,608,400
  5. Step 5: Solve for x
    x = 491,092,608,400/327,620
  6. Step 6: Final answer
    x = 1,498,970.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.