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Finding the Third Proportional to 269,420 and 418,350

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Solution

The third proportional to 269,420 and 418,350 is: 649,605.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,420 : 418,350 = 418,350 : x
  2. Step 2: Convert to fraction form
    269,420/418,350 = 418,350/x
  3. Step 3: Cross multiply
    269,420x = 418,350 × 418,350
  4. Step 4: Simplify right side
    269,420x = 175,016,722,500
  5. Step 5: Solve for x
    x = 175,016,722,500/269,420
  6. Step 6: Final answer
    x = 649,605.53

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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.