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Finding the Third Proportional to 269,872 and 428,928

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Solution

The third proportional to 269,872 and 428,928 is: 681,727.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,872 : 428,928 = 428,928 : x
  2. Step 2: Convert to fraction form
    269,872/428,928 = 428,928/x
  3. Step 3: Cross multiply
    269,872x = 428,928 × 428,928
  4. Step 4: Simplify right side
    269,872x = 183,979,229,184
  5. Step 5: Solve for x
    x = 183,979,229,184/269,872
  6. Step 6: Final answer
    x = 681,727.74

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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.