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Finding the Third Proportional to 68,496 and 108,684

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Solution

The third proportional to 68,496 and 108,684 is: 172,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,496 : 108,684 = 108,684 : x
  2. Step 2: Convert to fraction form
    68,496/108,684 = 108,684/x
  3. Step 3: Cross multiply
    68,496x = 108,684 × 108,684
  4. Step 4: Simplify right side
    68,496x = 11,812,211,856
  5. Step 5: Solve for x
    x = 11,812,211,856/68,496
  6. Step 6: Final answer
    x = 172,451.12

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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.