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Finding the Third Proportional to 81,237 and 121,857

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Solution

The third proportional to 81,237 and 121,857 is: 182,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,237 : 121,857 = 121,857 : x
  2. Step 2: Convert to fraction form
    81,237/121,857 = 121,857/x
  3. Step 3: Cross multiply
    81,237x = 121,857 × 121,857
  4. Step 4: Simplify right side
    81,237x = 14,849,128,449
  5. Step 5: Solve for x
    x = 14,849,128,449/81,237
  6. Step 6: Final answer
    x = 182,787.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.