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Finding the Third Proportional to 91,071 and 135,672

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Solution

The third proportional to 91,071 and 135,672 is: 202,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,071 : 135,672 = 135,672 : x
  2. Step 2: Convert to fraction form
    91,071/135,672 = 135,672/x
  3. Step 3: Cross multiply
    91,071x = 135,672 × 135,672
  4. Step 4: Simplify right side
    91,071x = 18,406,891,584
  5. Step 5: Solve for x
    x = 18,406,891,584/91,071
  6. Step 6: Final answer
    x = 202,115.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.