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Finding the Third Proportional to 127,968 and 279,228

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Solution

The third proportional to 127,968 and 279,228 is: 609,279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,968 : 279,228 = 279,228 : x
  2. Step 2: Convert to fraction form
    127,968/279,228 = 279,228/x
  3. Step 3: Cross multiply
    127,968x = 279,228 × 279,228
  4. Step 4: Simplify right side
    127,968x = 77,968,275,984
  5. Step 5: Solve for x
    x = 77,968,275,984/127,968
  6. Step 6: Final answer
    x = 609,279.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.