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Finding the Third Proportional to 197,380 and 288,074

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Solution

The third proportional to 197,380 and 288,074 is: 420,440.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,380 : 288,074 = 288,074 : x
  2. Step 2: Convert to fraction form
    197,380/288,074 = 288,074/x
  3. Step 3: Cross multiply
    197,380x = 288,074 × 288,074
  4. Step 4: Simplify right side
    197,380x = 82,986,629,476
  5. Step 5: Solve for x
    x = 82,986,629,476/197,380
  6. Step 6: Final answer
    x = 420,440.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.