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Finding the Third Proportional to 267,885 and 393,079.50

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Solution

The third proportional to 267,885 and 393,079.50 is: 576,782.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,885 : 393,079.50 = 393,079.50 : x
  2. Step 2: Convert to fraction form
    267,885/393,079.50 = 393,079.50/x
  3. Step 3: Cross multiply
    267,885x = 393,079.50 × 393,079.50
  4. Step 4: Simplify right side
    267,885x = 154,511,493,320.25
  5. Step 5: Solve for x
    x = 154,511,493,320.25/267,885
  6. Step 6: Final answer
    x = 576,782.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.