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Finding the Third Proportional to 121,081.50 and 281,371.50

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Solution

The third proportional to 121,081.50 and 281,371.50 is: 653,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,081.50 : 281,371.50 = 281,371.50 : x
  2. Step 2: Convert to fraction form
    121,081.50/281,371.50 = 281,371.50/x
  3. Step 3: Cross multiply
    121,081.50x = 281,371.50 × 281,371.50
  4. Step 4: Simplify right side
    121,081.50x = 79,169,921,012.25
  5. Step 5: Solve for x
    x = 79,169,921,012.25/121,081.50
  6. Step 6: Final answer
    x = 653,856.46

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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.