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Finding the Third Proportional to 89,290 and 135,087

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Solution

The third proportional to 89,290 and 135,087 is: 204,373.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,290 : 135,087 = 135,087 : x
  2. Step 2: Convert to fraction form
    89,290/135,087 = 135,087/x
  3. Step 3: Cross multiply
    89,290x = 135,087 × 135,087
  4. Step 4: Simplify right side
    89,290x = 18,248,497,569
  5. Step 5: Solve for x
    x = 18,248,497,569/89,290
  6. Step 6: Final answer
    x = 204,373.36

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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.