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Finding the Third Proportional to 71,785.50 and 154,539

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Solution

The third proportional to 71,785.50 and 154,539 is: 332,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,785.50 : 154,539 = 154,539 : x
  2. Step 2: Convert to fraction form
    71,785.50/154,539 = 154,539/x
  3. Step 3: Cross multiply
    71,785.50x = 154,539 × 154,539
  4. Step 4: Simplify right side
    71,785.50x = 23,882,302,521
  5. Step 5: Solve for x
    x = 23,882,302,521/71,785.50
  6. Step 6: Final answer
    x = 332,689.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.