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Finding the Third Proportional to 68,500 and 108,690

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Solution

The third proportional to 68,500 and 108,690 is: 172,460.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,500 : 108,690 = 108,690 : x
  2. Step 2: Convert to fraction form
    68,500/108,690 = 108,690/x
  3. Step 3: Cross multiply
    68,500x = 108,690 × 108,690
  4. Step 4: Simplify right side
    68,500x = 11,813,516,100
  5. Step 5: Solve for x
    x = 11,813,516,100/68,500
  6. Step 6: Final answer
    x = 172,460.09

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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.