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Finding the Third Proportional to 120,974 and 181,582

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Solution

The third proportional to 120,974 and 181,582 is: 272,554.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,974 : 181,582 = 181,582 : x
  2. Step 2: Convert to fraction form
    120,974/181,582 = 181,582/x
  3. Step 3: Cross multiply
    120,974x = 181,582 × 181,582
  4. Step 4: Simplify right side
    120,974x = 32,972,022,724
  5. Step 5: Solve for x
    x = 32,972,022,724/120,974
  6. Step 6: Final answer
    x = 272,554.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.