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Finding the Third Proportional to 68,921 and 110,580

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Solution

The third proportional to 68,921 and 110,580 is: 177,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,921 : 110,580 = 110,580 : x
  2. Step 2: Convert to fraction form
    68,921/110,580 = 110,580/x
  3. Step 3: Cross multiply
    68,921x = 110,580 × 110,580
  4. Step 4: Simplify right side
    68,921x = 12,227,936,400
  5. Step 5: Solve for x
    x = 12,227,936,400/68,921
  6. Step 6: Final answer
    x = 177,419.60

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.