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Finding the Third Proportional to 39,381 and 84,983.75

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Solution

The third proportional to 39,381 and 84,983.75 is: 183,393.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,381 : 84,983.75 = 84,983.75 : x
  2. Step 2: Convert to fraction form
    39,381/84,983.75 = 84,983.75/x
  3. Step 3: Cross multiply
    39,381x = 84,983.75 × 84,983.75
  4. Step 4: Simplify right side
    39,381x = 7,222,237,764.06
  5. Step 5: Solve for x
    x = 7,222,237,764.06/39,381
  6. Step 6: Final answer
    x = 183,393.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.