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Finding the Third Proportional to 89,580 and 135,378

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Solution

The third proportional to 89,580 and 135,378 is: 204,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,580 : 135,378 = 135,378 : x
  2. Step 2: Convert to fraction form
    89,580/135,378 = 135,378/x
  3. Step 3: Cross multiply
    89,580x = 135,378 × 135,378
  4. Step 4: Simplify right side
    89,580x = 18,327,202,884
  5. Step 5: Solve for x
    x = 18,327,202,884/89,580
  6. Step 6: Final answer
    x = 204,590.34

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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.