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Finding the Third Proportional to 86,928 and 127,920

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Solution

The third proportional to 86,928 and 127,920 is: 188,242.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,928 : 127,920 = 127,920 : x
  2. Step 2: Convert to fraction form
    86,928/127,920 = 127,920/x
  3. Step 3: Cross multiply
    86,928x = 127,920 × 127,920
  4. Step 4: Simplify right side
    86,928x = 16,363,526,400
  5. Step 5: Solve for x
    x = 16,363,526,400/86,928
  6. Step 6: Final answer
    x = 188,242.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.