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Finding the Third Proportional to 127,338 and 279,160

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Solution

The third proportional to 127,338 and 279,160 is: 611,995.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,338 : 279,160 = 279,160 : x
  2. Step 2: Convert to fraction form
    127,338/279,160 = 279,160/x
  3. Step 3: Cross multiply
    127,338x = 279,160 × 279,160
  4. Step 4: Simplify right side
    127,338x = 77,930,305,600
  5. Step 5: Solve for x
    x = 77,930,305,600/127,338
  6. Step 6: Final answer
    x = 611,995.68

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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.