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Finding the Third Proportional to 127,603 and 279,629

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Solution

The third proportional to 127,603 and 279,629 is: 612,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,603 : 279,629 = 279,629 : x
  2. Step 2: Convert to fraction form
    127,603/279,629 = 279,629/x
  3. Step 3: Cross multiply
    127,603x = 279,629 × 279,629
  4. Step 4: Simplify right side
    127,603x = 78,192,377,641
  5. Step 5: Solve for x
    x = 78,192,377,641/127,603
  6. Step 6: Final answer
    x = 612,778.52

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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.