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Finding the Third Proportional to 67,439 and 97,149

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Solution

The third proportional to 67,439 and 97,149 is: 139,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,439 : 97,149 = 97,149 : x
  2. Step 2: Convert to fraction form
    67,439/97,149 = 97,149/x
  3. Step 3: Cross multiply
    67,439x = 97,149 × 97,149
  4. Step 4: Simplify right side
    67,439x = 9,437,928,201
  5. Step 5: Solve for x
    x = 9,437,928,201/67,439
  6. Step 6: Final answer
    x = 139,947.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.