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Finding the Third Proportional to 105,267 and 136,569

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Solution

The third proportional to 105,267 and 136,569 is: 177,178.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,267 : 136,569 = 136,569 : x
  2. Step 2: Convert to fraction form
    105,267/136,569 = 136,569/x
  3. Step 3: Cross multiply
    105,267x = 136,569 × 136,569
  4. Step 4: Simplify right side
    105,267x = 18,651,091,761
  5. Step 5: Solve for x
    x = 18,651,091,761/105,267
  6. Step 6: Final answer
    x = 177,178.90

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.