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Finding the Third Proportional to 81,670 and 122,983

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Solution

The third proportional to 81,670 and 122,983 is: 185,194.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,670 : 122,983 = 122,983 : x
  2. Step 2: Convert to fraction form
    81,670/122,983 = 122,983/x
  3. Step 3: Cross multiply
    81,670x = 122,983 × 122,983
  4. Step 4: Simplify right side
    81,670x = 15,124,818,289
  5. Step 5: Solve for x
    x = 15,124,818,289/81,670
  6. Step 6: Final answer
    x = 185,194.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.