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Finding the Third Proportional to 85,722 and 186,124

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Solution

The third proportional to 85,722 and 186,124 is: 404,121.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,722 : 186,124 = 186,124 : x
  2. Step 2: Convert to fraction form
    85,722/186,124 = 186,124/x
  3. Step 3: Cross multiply
    85,722x = 186,124 × 186,124
  4. Step 4: Simplify right side
    85,722x = 34,642,143,376
  5. Step 5: Solve for x
    x = 34,642,143,376/85,722
  6. Step 6: Final answer
    x = 404,121.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.