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Finding the Third Proportional to 127,016 and 278,940

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Solution

The third proportional to 127,016 and 278,940 is: 612,580.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,016 : 278,940 = 278,940 : x
  2. Step 2: Convert to fraction form
    127,016/278,940 = 278,940/x
  3. Step 3: Cross multiply
    127,016x = 278,940 × 278,940
  4. Step 4: Simplify right side
    127,016x = 77,807,523,600
  5. Step 5: Solve for x
    x = 77,807,523,600/127,016
  6. Step 6: Final answer
    x = 612,580.49

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.