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Finding the Third Proportional to 81,210 and 180,874

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Solution

The third proportional to 81,210 and 180,874 is: 402,849.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,210 : 180,874 = 180,874 : x
  2. Step 2: Convert to fraction form
    81,210/180,874 = 180,874/x
  3. Step 3: Cross multiply
    81,210x = 180,874 × 180,874
  4. Step 4: Simplify right side
    81,210x = 32,715,403,876
  5. Step 5: Solve for x
    x = 32,715,403,876/81,210
  6. Step 6: Final answer
    x = 402,849.45

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.