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Finding the Third Proportional to 127,872 and 279,168

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Solution

The third proportional to 127,872 and 279,168 is: 609,474.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,872 : 279,168 = 279,168 : x
  2. Step 2: Convert to fraction form
    127,872/279,168 = 279,168/x
  3. Step 3: Cross multiply
    127,872x = 279,168 × 279,168
  4. Step 4: Simplify right side
    127,872x = 77,934,772,224
  5. Step 5: Solve for x
    x = 77,934,772,224/127,872
  6. Step 6: Final answer
    x = 609,474.88

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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.