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Finding the Third Proportional to 69,860 and 155,529

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Solution

The third proportional to 69,860 and 155,529 is: 346,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,860 : 155,529 = 155,529 : x
  2. Step 2: Convert to fraction form
    69,860/155,529 = 155,529/x
  3. Step 3: Cross multiply
    69,860x = 155,529 × 155,529
  4. Step 4: Simplify right side
    69,860x = 24,189,269,841
  5. Step 5: Solve for x
    x = 24,189,269,841/69,860
  6. Step 6: Final answer
    x = 346,253.50

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.