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Finding the Third Proportional to 40,380 and 61,983

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Solution

The third proportional to 40,380 and 61,983 is: 95,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,380 : 61,983 = 61,983 : x
  2. Step 2: Convert to fraction form
    40,380/61,983 = 61,983/x
  3. Step 3: Cross multiply
    40,380x = 61,983 × 61,983
  4. Step 4: Simplify right side
    40,380x = 3,841,892,289
  5. Step 5: Solve for x
    x = 3,841,892,289/40,380
  6. Step 6: Final answer
    x = 95,143.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.