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Finding the Third Proportional to 120,926 and 281,081

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Solution

The third proportional to 120,926 and 281,081 is: 653,346.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,926 : 281,081 = 281,081 : x
  2. Step 2: Convert to fraction form
    120,926/281,081 = 281,081/x
  3. Step 3: Cross multiply
    120,926x = 281,081 × 281,081
  4. Step 4: Simplify right side
    120,926x = 79,006,528,561
  5. Step 5: Solve for x
    x = 79,006,528,561/120,926
  6. Step 6: Final answer
    x = 653,346.08

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.