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Finding the Third Proportional to 127,646 and 279,836

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Solution

The third proportional to 127,646 and 279,836 is: 613,479.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,646 : 279,836 = 279,836 : x
  2. Step 2: Convert to fraction form
    127,646/279,836 = 279,836/x
  3. Step 3: Cross multiply
    127,646x = 279,836 × 279,836
  4. Step 4: Simplify right side
    127,646x = 78,308,186,896
  5. Step 5: Solve for x
    x = 78,308,186,896/127,646
  6. Step 6: Final answer
    x = 613,479.36

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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.