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Finding the Third Proportional to 61,976 and 127,620

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Solution

The third proportional to 61,976 and 127,620 is: 262,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,976 : 127,620 = 127,620 : x
  2. Step 2: Convert to fraction form
    61,976/127,620 = 127,620/x
  3. Step 3: Cross multiply
    61,976x = 127,620 × 127,620
  4. Step 4: Simplify right side
    61,976x = 16,286,864,400
  5. Step 5: Solve for x
    x = 16,286,864,400/61,976
  6. Step 6: Final answer
    x = 262,793.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.