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Finding the Third Proportional to 85,810 and 186,383

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Solution

The third proportional to 85,810 and 186,383 is: 404,831.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,810 : 186,383 = 186,383 : x
  2. Step 2: Convert to fraction form
    85,810/186,383 = 186,383/x
  3. Step 3: Cross multiply
    85,810x = 186,383 × 186,383
  4. Step 4: Simplify right side
    85,810x = 34,738,622,689
  5. Step 5: Solve for x
    x = 34,738,622,689/85,810
  6. Step 6: Final answer
    x = 404,831.87

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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.