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Finding the Third Proportional to 127,872 and 278,226

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Solution

The third proportional to 127,872 and 278,226 is: 605,368.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,872 : 278,226 = 278,226 : x
  2. Step 2: Convert to fraction form
    127,872/278,226 = 278,226/x
  3. Step 3: Cross multiply
    127,872x = 278,226 × 278,226
  4. Step 4: Simplify right side
    127,872x = 77,409,707,076
  5. Step 5: Solve for x
    x = 77,409,707,076/127,872
  6. Step 6: Final answer
    x = 605,368.71

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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.