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Finding the Third Proportional to 269,016 and 428,124

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Solution

The third proportional to 269,016 and 428,124 is: 681,335.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,016 : 428,124 = 428,124 : x
  2. Step 2: Convert to fraction form
    269,016/428,124 = 428,124/x
  3. Step 3: Cross multiply
    269,016x = 428,124 × 428,124
  4. Step 4: Simplify right side
    269,016x = 183,290,159,376
  5. Step 5: Solve for x
    x = 183,290,159,376/269,016
  6. Step 6: Final answer
    x = 681,335.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.