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Finding the Third Proportional to 39,215 and 84,694

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Solution

The third proportional to 39,215 and 84,694 is: 182,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,215 : 84,694 = 84,694 : x
  2. Step 2: Convert to fraction form
    39,215/84,694 = 84,694/x
  3. Step 3: Cross multiply
    39,215x = 84,694 × 84,694
  4. Step 4: Simplify right side
    39,215x = 7,173,073,636
  5. Step 5: Solve for x
    x = 7,173,073,636/39,215
  6. Step 6: Final answer
    x = 182,916.58

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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.