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Finding the Third Proportional to 69,890 and 149,188

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Solution

The third proportional to 69,890 and 149,188 is: 318,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,890 : 149,188 = 149,188 : x
  2. Step 2: Convert to fraction form
    69,890/149,188 = 149,188/x
  3. Step 3: Cross multiply
    69,890x = 149,188 × 149,188
  4. Step 4: Simplify right side
    69,890x = 22,257,059,344
  5. Step 5: Solve for x
    x = 22,257,059,344/69,890
  6. Step 6: Final answer
    x = 318,458.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.