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Finding the Third Proportional to 47,981 and 76,656

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Solution

The third proportional to 47,981 and 76,656 is: 122,468.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,981 : 76,656 = 76,656 : x
  2. Step 2: Convert to fraction form
    47,981/76,656 = 76,656/x
  3. Step 3: Cross multiply
    47,981x = 76,656 × 76,656
  4. Step 4: Simplify right side
    47,981x = 5,876,142,336
  5. Step 5: Solve for x
    x = 5,876,142,336/47,981
  6. Step 6: Final answer
    x = 122,468.11

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.