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Finding the Third Proportional to 91,758 and 129,212

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Solution

The third proportional to 91,758 and 129,212 is: 181,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,758 : 129,212 = 129,212 : x
  2. Step 2: Convert to fraction form
    91,758/129,212 = 129,212/x
  3. Step 3: Cross multiply
    91,758x = 129,212 × 129,212
  4. Step 4: Simplify right side
    91,758x = 16,695,740,944
  5. Step 5: Solve for x
    x = 16,695,740,944/91,758
  6. Step 6: Final answer
    x = 181,954.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.