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Finding the Third Proportional to 85,800 and 186,372

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Solution

The third proportional to 85,800 and 186,372 is: 404,831.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,800 : 186,372 = 186,372 : x
  2. Step 2: Convert to fraction form
    85,800/186,372 = 186,372/x
  3. Step 3: Cross multiply
    85,800x = 186,372 × 186,372
  4. Step 4: Simplify right side
    85,800x = 34,734,522,384
  5. Step 5: Solve for x
    x = 34,734,522,384/85,800
  6. Step 6: Final answer
    x = 404,831.26

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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.