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Finding the Third Proportional to 127,920 and 178,928

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Solution

The third proportional to 127,920 and 178,928 is: 250,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,920 : 178,928 = 178,928 : x
  2. Step 2: Convert to fraction form
    127,920/178,928 = 178,928/x
  3. Step 3: Cross multiply
    127,920x = 178,928 × 178,928
  4. Step 4: Simplify right side
    127,920x = 32,015,229,184
  5. Step 5: Solve for x
    x = 32,015,229,184/127,920
  6. Step 6: Final answer
    x = 250,275.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.