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Finding the Third Proportional to 127,720 and 187,868

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Solution

The third proportional to 127,720 and 187,868 is: 276,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,720 : 187,868 = 187,868 : x
  2. Step 2: Convert to fraction form
    127,720/187,868 = 187,868/x
  3. Step 3: Cross multiply
    127,720x = 187,868 × 187,868
  4. Step 4: Simplify right side
    127,720x = 35,294,385,424
  5. Step 5: Solve for x
    x = 35,294,385,424/127,720
  6. Step 6: Final answer
    x = 276,341.88

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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.