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Finding the Third Proportional to 127,972.50 and 188,679

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Solution

The third proportional to 127,972.50 and 188,679 is: 278,182.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,972.50 : 188,679 = 188,679 : x
  2. Step 2: Convert to fraction form
    127,972.50/188,679 = 188,679/x
  3. Step 3: Cross multiply
    127,972.50x = 188,679 × 188,679
  4. Step 4: Simplify right side
    127,972.50x = 35,599,765,041
  5. Step 5: Solve for x
    x = 35,599,765,041/127,972.50
  6. Step 6: Final answer
    x = 278,182.93

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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.