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Finding the Third Proportional to 81,237 and 121,179

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Solution

The third proportional to 81,237 and 121,179 is: 180,759.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,237 : 121,179 = 121,179 : x
  2. Step 2: Convert to fraction form
    81,237/121,179 = 121,179/x
  3. Step 3: Cross multiply
    81,237x = 121,179 × 121,179
  4. Step 4: Simplify right side
    81,237x = 14,684,350,041
  5. Step 5: Solve for x
    x = 14,684,350,041/81,237
  6. Step 6: Final answer
    x = 180,759.38

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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.