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Finding the Third Proportional to 68,700 and 108,866

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Solution

The third proportional to 68,700 and 108,866 is: 172,515.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,700 : 108,866 = 108,866 : x
  2. Step 2: Convert to fraction form
    68,700/108,866 = 108,866/x
  3. Step 3: Cross multiply
    68,700x = 108,866 × 108,866
  4. Step 4: Simplify right side
    68,700x = 11,851,805,956
  5. Step 5: Solve for x
    x = 11,851,805,956/68,700
  6. Step 6: Final answer
    x = 172,515.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.