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Finding the Third Proportional to 77,976 and 123,963

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Solution

The third proportional to 77,976 and 123,963 is: 197,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,976 : 123,963 = 123,963 : x
  2. Step 2: Convert to fraction form
    77,976/123,963 = 123,963/x
  3. Step 3: Cross multiply
    77,976x = 123,963 × 123,963
  4. Step 4: Simplify right side
    77,976x = 15,366,825,369
  5. Step 5: Solve for x
    x = 15,366,825,369/77,976
  6. Step 6: Final answer
    x = 197,071.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.