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Finding the Third Proportional to 538,380 and 784,197

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Solution

The third proportional to 538,380 and 784,197 is: 1,142,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,380 : 784,197 = 784,197 : x
  2. Step 2: Convert to fraction form
    538,380/784,197 = 784,197/x
  3. Step 3: Cross multiply
    538,380x = 784,197 × 784,197
  4. Step 4: Simplify right side
    538,380x = 614,964,934,809
  5. Step 5: Solve for x
    x = 614,964,934,809/538,380
  6. Step 6: Final answer
    x = 1,142,250.71

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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.