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Finding the Third Proportional to 120,892 and 261,248

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Solution

The third proportional to 120,892 and 261,248 is: 564,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,892 : 261,248 = 261,248 : x
  2. Step 2: Convert to fraction form
    120,892/261,248 = 261,248/x
  3. Step 3: Cross multiply
    120,892x = 261,248 × 261,248
  4. Step 4: Simplify right side
    120,892x = 68,250,517,504
  5. Step 5: Solve for x
    x = 68,250,517,504/120,892
  6. Step 6: Final answer
    x = 564,557.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.