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Finding the Third Proportional to 89,310 and 135,117

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Solution

The third proportional to 89,310 and 135,117 is: 204,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,310 : 135,117 = 135,117 : x
  2. Step 2: Convert to fraction form
    89,310/135,117 = 135,117/x
  3. Step 3: Cross multiply
    89,310x = 135,117 × 135,117
  4. Step 4: Simplify right side
    89,310x = 18,256,603,689
  5. Step 5: Solve for x
    x = 18,256,603,689/89,310
  6. Step 6: Final answer
    x = 204,418.36

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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.