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Finding the Third Proportional to 29,680 and 39,647

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Solution

The third proportional to 29,680 and 39,647 is: 52,961.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,680 : 39,647 = 39,647 : x
  2. Step 2: Convert to fraction form
    29,680/39,647 = 39,647/x
  3. Step 3: Cross multiply
    29,680x = 39,647 × 39,647
  4. Step 4: Simplify right side
    29,680x = 1,571,884,609
  5. Step 5: Solve for x
    x = 1,571,884,609/29,680
  6. Step 6: Final answer
    x = 52,961.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.