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Finding the Third Proportional to 78,904 and 110,983

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Solution

The third proportional to 78,904 and 110,983 is: 156,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,904 : 110,983 = 110,983 : x
  2. Step 2: Convert to fraction form
    78,904/110,983 = 110,983/x
  3. Step 3: Cross multiply
    78,904x = 110,983 × 110,983
  4. Step 4: Simplify right side
    78,904x = 12,317,226,289
  5. Step 5: Solve for x
    x = 12,317,226,289/78,904
  6. Step 6: Final answer
    x = 156,103.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.