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Finding the Third Proportional to 81,478 and 127,979

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Solution

The third proportional to 81,478 and 127,979 is: 201,018.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,478 : 127,979 = 127,979 : x
  2. Step 2: Convert to fraction form
    81,478/127,979 = 127,979/x
  3. Step 3: Cross multiply
    81,478x = 127,979 × 127,979
  4. Step 4: Simplify right side
    81,478x = 16,378,624,441
  5. Step 5: Solve for x
    x = 16,378,624,441/81,478
  6. Step 6: Final answer
    x = 201,018.98

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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.