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Finding the Third Proportional to 39,296 and 83,840

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Solution

The third proportional to 39,296 and 83,840 is: 178,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,296 : 83,840 = 83,840 : x
  2. Step 2: Convert to fraction form
    39,296/83,840 = 83,840/x
  3. Step 3: Cross multiply
    39,296x = 83,840 × 83,840
  4. Step 4: Simplify right side
    39,296x = 7,029,145,600
  5. Step 5: Solve for x
    x = 7,029,145,600/39,296
  6. Step 6: Final answer
    x = 178,876.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.