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Finding the Third Proportional to 127,911 and 178,917

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Solution

The third proportional to 127,911 and 178,917 is: 250,262.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,911 : 178,917 = 178,917 : x
  2. Step 2: Convert to fraction form
    127,911/178,917 = 178,917/x
  3. Step 3: Cross multiply
    127,911x = 178,917 × 178,917
  4. Step 4: Simplify right side
    127,911x = 32,011,292,889
  5. Step 5: Solve for x
    x = 32,011,292,889/127,911
  6. Step 6: Final answer
    x = 250,262.24

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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.