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Finding the Third Proportional to 89,409 and 135,024.75

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Solution

The third proportional to 89,409 and 135,024.75 is: 203,913.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,409 : 135,024.75 = 135,024.75 : x
  2. Step 2: Convert to fraction form
    89,409/135,024.75 = 135,024.75/x
  3. Step 3: Cross multiply
    89,409x = 135,024.75 × 135,024.75
  4. Step 4: Simplify right side
    89,409x = 18,231,683,112.56
  5. Step 5: Solve for x
    x = 18,231,683,112.56/89,409
  6. Step 6: Final answer
    x = 203,913.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.