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Finding the Third Proportional to 132,711 and 280,974

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Solution

The third proportional to 132,711 and 280,974 is: 594,874.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,711 : 280,974 = 280,974 : x
  2. Step 2: Convert to fraction form
    132,711/280,974 = 280,974/x
  3. Step 3: Cross multiply
    132,711x = 280,974 × 280,974
  4. Step 4: Simplify right side
    132,711x = 78,946,388,676
  5. Step 5: Solve for x
    x = 78,946,388,676/132,711
  6. Step 6: Final answer
    x = 594,874.49

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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.