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Finding the Third Proportional to 171,808 and 254,785

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Solution

The third proportional to 171,808 and 254,785 is: 377,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,808 : 254,785 = 254,785 : x
  2. Step 2: Convert to fraction form
    171,808/254,785 = 254,785/x
  3. Step 3: Cross multiply
    171,808x = 254,785 × 254,785
  4. Step 4: Simplify right side
    171,808x = 64,915,396,225
  5. Step 5: Solve for x
    x = 64,915,396,225/171,808
  6. Step 6: Final answer
    x = 377,836.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.