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Finding the Third Proportional to 39,397 and 84,329

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Solution

The third proportional to 39,397 and 84,329 is: 180,505.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,397 : 84,329 = 84,329 : x
  2. Step 2: Convert to fraction form
    39,397/84,329 = 84,329/x
  3. Step 3: Cross multiply
    39,397x = 84,329 × 84,329
  4. Step 4: Simplify right side
    39,397x = 7,111,380,241
  5. Step 5: Solve for x
    x = 7,111,380,241/39,397
  6. Step 6: Final answer
    x = 180,505.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.