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Finding the Third Proportional to 140,103 and 192,658.50

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Solution

The third proportional to 140,103 and 192,658.50 is: 264,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,103 : 192,658.50 = 192,658.50 : x
  2. Step 2: Convert to fraction form
    140,103/192,658.50 = 192,658.50/x
  3. Step 3: Cross multiply
    140,103x = 192,658.50 × 192,658.50
  4. Step 4: Simplify right side
    140,103x = 37,117,297,622.25
  5. Step 5: Solve for x
    x = 37,117,297,622.25/140,103
  6. Step 6: Final answer
    x = 264,928.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.