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Finding the Third Proportional to 91,278 and 132,867

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Solution

The third proportional to 91,278 and 132,867 is: 193,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,278 : 132,867 = 132,867 : x
  2. Step 2: Convert to fraction form
    91,278/132,867 = 132,867/x
  3. Step 3: Cross multiply
    91,278x = 132,867 × 132,867
  4. Step 4: Simplify right side
    91,278x = 17,653,639,689
  5. Step 5: Solve for x
    x = 17,653,639,689/91,278
  6. Step 6: Final answer
    x = 193,405.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.