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Finding the Third Proportional to 127,136 and 279,744

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Solution

The third proportional to 127,136 and 279,744 is: 615,535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,136 : 279,744 = 279,744 : x
  2. Step 2: Convert to fraction form
    127,136/279,744 = 279,744/x
  3. Step 3: Cross multiply
    127,136x = 279,744 × 279,744
  4. Step 4: Simplify right side
    127,136x = 78,256,705,536
  5. Step 5: Solve for x
    x = 78,256,705,536/127,136
  6. Step 6: Final answer
    x = 615,535.38

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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.