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Finding the Third Proportional to 69,400 and 103,909

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Solution

The third proportional to 69,400 and 103,909 is: 155,577.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,400 : 103,909 = 103,909 : x
  2. Step 2: Convert to fraction form
    69,400/103,909 = 103,909/x
  3. Step 3: Cross multiply
    69,400x = 103,909 × 103,909
  4. Step 4: Simplify right side
    69,400x = 10,797,080,281
  5. Step 5: Solve for x
    x = 10,797,080,281/69,400
  6. Step 6: Final answer
    x = 155,577.53

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Why These Related Problems?

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