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Finding the Third Proportional to 132,219 and 271,479

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Solution

The third proportional to 132,219 and 271,479 is: 557,414.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,219 : 271,479 = 271,479 : x
  2. Step 2: Convert to fraction form
    132,219/271,479 = 271,479/x
  3. Step 3: Cross multiply
    132,219x = 271,479 × 271,479
  4. Step 4: Simplify right side
    132,219x = 73,700,847,441
  5. Step 5: Solve for x
    x = 73,700,847,441/132,219
  6. Step 6: Final answer
    x = 557,414.95

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.