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Finding the Third Proportional to 127,138.50 and 186,819.75

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Solution

The third proportional to 127,138.50 and 186,819.75 is: 274,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,138.50 : 186,819.75 = 186,819.75 : x
  2. Step 2: Convert to fraction form
    127,138.50/186,819.75 = 186,819.75/x
  3. Step 3: Cross multiply
    127,138.50x = 186,819.75 × 186,819.75
  4. Step 4: Simplify right side
    127,138.50x = 34,901,618,990.06
  5. Step 5: Solve for x
    x = 34,901,618,990.06/127,138.50
  6. Step 6: Final answer
    x = 274,516.52

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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.