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Finding the Third Proportional to 171,785 and 366,399

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Solution

The third proportional to 171,785 and 366,399 is: 781,489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,785 : 366,399 = 366,399 : x
  2. Step 2: Convert to fraction form
    171,785/366,399 = 366,399/x
  3. Step 3: Cross multiply
    171,785x = 366,399 × 366,399
  4. Step 4: Simplify right side
    171,785x = 134,248,227,201
  5. Step 5: Solve for x
    x = 134,248,227,201/171,785
  6. Step 6: Final answer
    x = 781,489.81

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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.