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Finding the Third Proportional to 189,540 and 405,324

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Solution

The third proportional to 189,540 and 405,324 is: 866,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,540 : 405,324 = 405,324 : x
  2. Step 2: Convert to fraction form
    189,540/405,324 = 405,324/x
  3. Step 3: Cross multiply
    189,540x = 405,324 × 405,324
  4. Step 4: Simplify right side
    189,540x = 164,287,544,976
  5. Step 5: Solve for x
    x = 164,287,544,976/189,540
  6. Step 6: Final answer
    x = 866,769.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.