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Finding the Third Proportional to 132,981 and 288,115

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Solution

The third proportional to 132,981 and 288,115 is: 624,226.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,981 : 288,115 = 288,115 : x
  2. Step 2: Convert to fraction form
    132,981/288,115 = 288,115/x
  3. Step 3: Cross multiply
    132,981x = 288,115 × 288,115
  4. Step 4: Simplify right side
    132,981x = 83,010,253,225
  5. Step 5: Solve for x
    x = 83,010,253,225/132,981
  6. Step 6: Final answer
    x = 624,226.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.