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Finding the Third Proportional to 281,950 and 415,135

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Solution

The third proportional to 281,950 and 415,135 is: 611,232.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,950 : 415,135 = 415,135 : x
  2. Step 2: Convert to fraction form
    281,950/415,135 = 415,135/x
  3. Step 3: Cross multiply
    281,950x = 415,135 × 415,135
  4. Step 4: Simplify right side
    281,950x = 172,337,068,225
  5. Step 5: Solve for x
    x = 172,337,068,225/281,950
  6. Step 6: Final answer
    x = 611,232.73

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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.