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Finding the Third Proportional to 68,509 and 107,496

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Solution

The third proportional to 68,509 and 107,496 is: 168,669.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,509 : 107,496 = 107,496 : x
  2. Step 2: Convert to fraction form
    68,509/107,496 = 107,496/x
  3. Step 3: Cross multiply
    68,509x = 107,496 × 107,496
  4. Step 4: Simplify right side
    68,509x = 11,555,390,016
  5. Step 5: Solve for x
    x = 11,555,390,016/68,509
  6. Step 6: Final answer
    x = 168,669.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.