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Finding the Third Proportional to 120,858 and 261,156

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Solution

The third proportional to 120,858 and 261,156 is: 564,318.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,858 : 261,156 = 261,156 : x
  2. Step 2: Convert to fraction form
    120,858/261,156 = 261,156/x
  3. Step 3: Cross multiply
    120,858x = 261,156 × 261,156
  4. Step 4: Simplify right side
    120,858x = 68,202,456,336
  5. Step 5: Solve for x
    x = 68,202,456,336/120,858
  6. Step 6: Final answer
    x = 564,318.92

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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.