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Finding the Third Proportional to 192,785 and 408,898

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Solution

The third proportional to 192,785 and 408,898 is: 867,274.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,785 : 408,898 = 408,898 : x
  2. Step 2: Convert to fraction form
    192,785/408,898 = 408,898/x
  3. Step 3: Cross multiply
    192,785x = 408,898 × 408,898
  4. Step 4: Simplify right side
    192,785x = 167,197,574,404
  5. Step 5: Solve for x
    x = 167,197,574,404/192,785
  6. Step 6: Final answer
    x = 867,274.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.