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Finding the Third Proportional to 91,761 and 129,216

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Solution

The third proportional to 91,761 and 129,216 is: 181,959.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,761 : 129,216 = 129,216 : x
  2. Step 2: Convert to fraction form
    91,761/129,216 = 129,216/x
  3. Step 3: Cross multiply
    91,761x = 129,216 × 129,216
  4. Step 4: Simplify right side
    91,761x = 16,696,774,656
  5. Step 5: Solve for x
    x = 16,696,774,656/91,761
  6. Step 6: Final answer
    x = 181,959.38

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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.