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Finding the Third Proportional to 127,291.50 and 279,996.75

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Solution

The third proportional to 127,291.50 and 279,996.75 is: 615,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,291.50 : 279,996.75 = 279,996.75 : x
  2. Step 2: Convert to fraction form
    127,291.50/279,996.75 = 279,996.75/x
  3. Step 3: Cross multiply
    127,291.50x = 279,996.75 × 279,996.75
  4. Step 4: Simplify right side
    127,291.50x = 78,398,180,010.56
  5. Step 5: Solve for x
    x = 78,398,180,010.56/127,291.50
  6. Step 6: Final answer
    x = 615,894.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.