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Finding the Third Proportional to 127,515 and 187,744

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Solution

The third proportional to 127,515 and 187,744 is: 276,420.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,515 : 187,744 = 187,744 : x
  2. Step 2: Convert to fraction form
    127,515/187,744 = 187,744/x
  3. Step 3: Cross multiply
    127,515x = 187,744 × 187,744
  4. Step 4: Simplify right side
    127,515x = 35,247,809,536
  5. Step 5: Solve for x
    x = 35,247,809,536/127,515
  6. Step 6: Final answer
    x = 276,420.89

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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.