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Finding the Third Proportional to 81,726 and 124,966

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Solution

The third proportional to 81,726 and 124,966 is: 191,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,726 : 124,966 = 124,966 : x
  2. Step 2: Convert to fraction form
    81,726/124,966 = 124,966/x
  3. Step 3: Cross multiply
    81,726x = 124,966 × 124,966
  4. Step 4: Simplify right side
    81,726x = 15,616,501,156
  5. Step 5: Solve for x
    x = 15,616,501,156/81,726
  6. Step 6: Final answer
    x = 191,083.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.