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Finding the Third Proportional to 86,976 and 127,392

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Solution

The third proportional to 86,976 and 127,392 is: 186,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,976 : 127,392 = 127,392 : x
  2. Step 2: Convert to fraction form
    86,976/127,392 = 127,392/x
  3. Step 3: Cross multiply
    86,976x = 127,392 × 127,392
  4. Step 4: Simplify right side
    86,976x = 16,228,721,664
  5. Step 5: Solve for x
    x = 16,228,721,664/86,976
  6. Step 6: Final answer
    x = 186,588.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.