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Finding the Third Proportional to 85,866 and 186,987

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Solution

The third proportional to 85,866 and 186,987 is: 407,194.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,866 : 186,987 = 186,987 : x
  2. Step 2: Convert to fraction form
    85,866/186,987 = 186,987/x
  3. Step 3: Cross multiply
    85,866x = 186,987 × 186,987
  4. Step 4: Simplify right side
    85,866x = 34,964,138,169
  5. Step 5: Solve for x
    x = 34,964,138,169/85,866
  6. Step 6: Final answer
    x = 407,194.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.