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Finding the Third Proportional to 127,122 and 279,138

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Solution

The third proportional to 127,122 and 279,138 is: 612,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,122 : 279,138 = 279,138 : x
  2. Step 2: Convert to fraction form
    127,122/279,138 = 279,138/x
  3. Step 3: Cross multiply
    127,122x = 279,138 × 279,138
  4. Step 4: Simplify right side
    127,122x = 77,918,023,044
  5. Step 5: Solve for x
    x = 77,918,023,044/127,122
  6. Step 6: Final answer
    x = 612,938.93

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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.