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Finding the Third Proportional to 127,856 and 278,194

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Solution

The third proportional to 127,856 and 278,194 is: 605,305.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,856 : 278,194 = 278,194 : x
  2. Step 2: Convert to fraction form
    127,856/278,194 = 278,194/x
  3. Step 3: Cross multiply
    127,856x = 278,194 × 278,194
  4. Step 4: Simplify right side
    127,856x = 77,391,901,636
  5. Step 5: Solve for x
    x = 77,391,901,636/127,856
  6. Step 6: Final answer
    x = 605,305.20

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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.