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Finding the Third Proportional to 91,616 and 140,149

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Solution

The third proportional to 91,616 and 140,149 is: 214,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,616 : 140,149 = 140,149 : x
  2. Step 2: Convert to fraction form
    91,616/140,149 = 140,149/x
  3. Step 3: Cross multiply
    91,616x = 140,149 × 140,149
  4. Step 4: Simplify right side
    91,616x = 19,641,742,201
  5. Step 5: Solve for x
    x = 19,641,742,201/91,616
  6. Step 6: Final answer
    x = 214,392.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.