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Finding the Third Proportional to 127,908 and 178,915

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Solution

The third proportional to 127,908 and 178,915 is: 250,262.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,908 : 178,915 = 178,915 : x
  2. Step 2: Convert to fraction form
    127,908/178,915 = 178,915/x
  3. Step 3: Cross multiply
    127,908x = 178,915 × 178,915
  4. Step 4: Simplify right side
    127,908x = 32,010,577,225
  5. Step 5: Solve for x
    x = 32,010,577,225/127,908
  6. Step 6: Final answer
    x = 250,262.51

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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.