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Finding the Third Proportional to 127,880 and 278,242

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Solution

The third proportional to 127,880 and 278,242 is: 605,400.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,880 : 278,242 = 278,242 : x
  2. Step 2: Convert to fraction form
    127,880/278,242 = 278,242/x
  3. Step 3: Cross multiply
    127,880x = 278,242 × 278,242
  4. Step 4: Simplify right side
    127,880x = 77,418,610,564
  5. Step 5: Solve for x
    x = 77,418,610,564/127,880
  6. Step 6: Final answer
    x = 605,400.46

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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.