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Finding the Third Proportional to 38,666 and 84,805

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Solution

The third proportional to 38,666 and 84,805 is: 186,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,666 : 84,805 = 84,805 : x
  2. Step 2: Convert to fraction form
    38,666/84,805 = 84,805/x
  3. Step 3: Cross multiply
    38,666x = 84,805 × 84,805
  4. Step 4: Simplify right side
    38,666x = 7,191,888,025
  5. Step 5: Solve for x
    x = 7,191,888,025/38,666
  6. Step 6: Final answer
    x = 186,000.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.