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Finding the Third Proportional to 90,661 and 149,829

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Solution

The third proportional to 90,661 and 149,829 is: 247,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,661 : 149,829 = 149,829 : x
  2. Step 2: Convert to fraction form
    90,661/149,829 = 149,829/x
  3. Step 3: Cross multiply
    90,661x = 149,829 × 149,829
  4. Step 4: Simplify right side
    90,661x = 22,448,729,241
  5. Step 5: Solve for x
    x = 22,448,729,241/90,661
  6. Step 6: Final answer
    x = 247,611.75

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.