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Finding the Third Proportional to 189,982 and 401,324

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Solution

The third proportional to 189,982 and 401,324 is: 847,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,982 : 401,324 = 401,324 : x
  2. Step 2: Convert to fraction form
    189,982/401,324 = 401,324/x
  3. Step 3: Cross multiply
    189,982x = 401,324 × 401,324
  4. Step 4: Simplify right side
    189,982x = 161,060,952,976
  5. Step 5: Solve for x
    x = 161,060,952,976/189,982
  6. Step 6: Final answer
    x = 847,769.54

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.