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Finding the Third Proportional to 89,656 and 135,210

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Solution

The third proportional to 89,656 and 135,210 is: 203,909.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,656 : 135,210 = 135,210 : x
  2. Step 2: Convert to fraction form
    89,656/135,210 = 135,210/x
  3. Step 3: Cross multiply
    89,656x = 135,210 × 135,210
  4. Step 4: Simplify right side
    89,656x = 18,281,744,100
  5. Step 5: Solve for x
    x = 18,281,744,100/89,656
  6. Step 6: Final answer
    x = 203,909.88

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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.