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Finding the Third Proportional to 89,231 and 130,867

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Solution

The third proportional to 89,231 and 130,867 is: 191,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,231 : 130,867 = 130,867 : x
  2. Step 2: Convert to fraction form
    89,231/130,867 = 130,867/x
  3. Step 3: Cross multiply
    89,231x = 130,867 × 130,867
  4. Step 4: Simplify right side
    89,231x = 17,126,171,689
  5. Step 5: Solve for x
    x = 17,126,171,689/89,231
  6. Step 6: Final answer
    x = 191,930.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.