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Finding the Third Proportional to 127,716 and 279,972

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Solution

The third proportional to 127,716 and 279,972 is: 613,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,716 : 279,972 = 279,972 : x
  2. Step 2: Convert to fraction form
    127,716/279,972 = 279,972/x
  3. Step 3: Cross multiply
    127,716x = 279,972 × 279,972
  4. Step 4: Simplify right side
    127,716x = 78,384,320,784
  5. Step 5: Solve for x
    x = 78,384,320,784/127,716
  6. Step 6: Final answer
    x = 613,739.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.