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Finding the Third Proportional to 69,803 and 155,086

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Solution

The third proportional to 69,803 and 155,086 is: 344,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,803 : 155,086 = 155,086 : x
  2. Step 2: Convert to fraction form
    69,803/155,086 = 155,086/x
  3. Step 3: Cross multiply
    69,803x = 155,086 × 155,086
  4. Step 4: Simplify right side
    69,803x = 24,051,667,396
  5. Step 5: Solve for x
    x = 24,051,667,396/69,803
  6. Step 6: Final answer
    x = 344,564.95

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.