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Finding the Third Proportional to 279,432 and 428,156

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Solution

The third proportional to 279,432 and 428,156 is: 656,036.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,432 : 428,156 = 428,156 : x
  2. Step 2: Convert to fraction form
    279,432/428,156 = 428,156/x
  3. Step 3: Cross multiply
    279,432x = 428,156 × 428,156
  4. Step 4: Simplify right side
    279,432x = 183,317,560,336
  5. Step 5: Solve for x
    x = 183,317,560,336/279,432
  6. Step 6: Final answer
    x = 656,036.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.