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Finding the Third Proportional to 69,782 and 102,405

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Solution

The third proportional to 69,782 and 102,405 is: 150,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,782 : 102,405 = 102,405 : x
  2. Step 2: Convert to fraction form
    69,782/102,405 = 102,405/x
  3. Step 3: Cross multiply
    69,782x = 102,405 × 102,405
  4. Step 4: Simplify right side
    69,782x = 10,486,784,025
  5. Step 5: Solve for x
    x = 10,486,784,025/69,782
  6. Step 6: Final answer
    x = 150,279.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.