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Finding the Third Proportional to 127,879.50 and 278,655

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Solution

The third proportional to 127,879.50 and 278,655 is: 607,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,879.50 : 278,655 = 278,655 : x
  2. Step 2: Convert to fraction form
    127,879.50/278,655 = 278,655/x
  3. Step 3: Cross multiply
    127,879.50x = 278,655 × 278,655
  4. Step 4: Simplify right side
    127,879.50x = 77,648,609,025
  5. Step 5: Solve for x
    x = 77,648,609,025/127,879.50
  6. Step 6: Final answer
    x = 607,201.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.