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Finding the Third Proportional to 81,286 and 127,679

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Solution

The third proportional to 81,286 and 127,679 is: 200,550.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,286 : 127,679 = 127,679 : x
  2. Step 2: Convert to fraction form
    81,286/127,679 = 127,679/x
  3. Step 3: Cross multiply
    81,286x = 127,679 × 127,679
  4. Step 4: Simplify right side
    81,286x = 16,301,927,041
  5. Step 5: Solve for x
    x = 16,301,927,041/81,286
  6. Step 6: Final answer
    x = 200,550.24

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.