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Finding the Third Proportional to 68,759 and 109,409

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Solution

The third proportional to 68,759 and 109,409 is: 174,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,759 : 109,409 = 109,409 : x
  2. Step 2: Convert to fraction form
    68,759/109,409 = 109,409/x
  3. Step 3: Cross multiply
    68,759x = 109,409 × 109,409
  4. Step 4: Simplify right side
    68,759x = 11,970,329,281
  5. Step 5: Solve for x
    x = 11,970,329,281/68,759
  6. Step 6: Final answer
    x = 174,091.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.