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Finding the Third Proportional to 39,290 and 84,805

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Solution

The third proportional to 39,290 and 84,805 is: 183,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,290 : 84,805 = 84,805 : x
  2. Step 2: Convert to fraction form
    39,290/84,805 = 84,805/x
  3. Step 3: Cross multiply
    39,290x = 84,805 × 84,805
  4. Step 4: Simplify right side
    39,290x = 7,191,888,025
  5. Step 5: Solve for x
    x = 7,191,888,025/39,290
  6. Step 6: Final answer
    x = 183,046.27

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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.