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Finding the Third Proportional to 132,934.50 and 280,881

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Solution

The third proportional to 132,934.50 and 280,881 is: 593,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,934.50 : 280,881 = 280,881 : x
  2. Step 2: Convert to fraction form
    132,934.50/280,881 = 280,881/x
  3. Step 3: Cross multiply
    132,934.50x = 280,881 × 280,881
  4. Step 4: Simplify right side
    132,934.50x = 78,894,136,161
  5. Step 5: Solve for x
    x = 78,894,136,161/132,934.50
  6. Step 6: Final answer
    x = 593,481.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.