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Finding the Third Proportional to 69,704 and 148,399

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Solution

The third proportional to 69,704 and 148,399 is: 315,939.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,704 : 148,399 = 148,399 : x
  2. Step 2: Convert to fraction form
    69,704/148,399 = 148,399/x
  3. Step 3: Cross multiply
    69,704x = 148,399 × 148,399
  4. Step 4: Simplify right side
    69,704x = 22,022,263,201
  5. Step 5: Solve for x
    x = 22,022,263,201/69,704
  6. Step 6: Final answer
    x = 315,939.73

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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.