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Finding the Third Proportional to 90,701 and 136,400

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Solution

The third proportional to 90,701 and 136,400 is: 205,124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,701 : 136,400 = 136,400 : x
  2. Step 2: Convert to fraction form
    90,701/136,400 = 136,400/x
  3. Step 3: Cross multiply
    90,701x = 136,400 × 136,400
  4. Step 4: Simplify right side
    90,701x = 18,604,960,000
  5. Step 5: Solve for x
    x = 18,604,960,000/90,701
  6. Step 6: Final answer
    x = 205,124.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.