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Finding the Third Proportional to 132,564 and 280,479

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Solution

The third proportional to 132,564 and 280,479 is: 593,437.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,564 : 280,479 = 280,479 : x
  2. Step 2: Convert to fraction form
    132,564/280,479 = 280,479/x
  3. Step 3: Cross multiply
    132,564x = 280,479 × 280,479
  4. Step 4: Simplify right side
    132,564x = 78,668,469,441
  5. Step 5: Solve for x
    x = 78,668,469,441/132,564
  6. Step 6: Final answer
    x = 593,437.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.