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Finding the Third Proportional to 120,400 and 186,324

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Solution

The third proportional to 120,400 and 186,324 is: 288,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,400 : 186,324 = 186,324 : x
  2. Step 2: Convert to fraction form
    120,400/186,324 = 186,324/x
  3. Step 3: Cross multiply
    120,400x = 186,324 × 186,324
  4. Step 4: Simplify right side
    120,400x = 34,716,632,976
  5. Step 5: Solve for x
    x = 34,716,632,976/120,400
  6. Step 6: Final answer
    x = 288,344.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.