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Finding the Third Proportional to 538,731 and 803,425

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Solution

The third proportional to 538,731 and 803,425 is: 1,198,170.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,731 : 803,425 = 803,425 : x
  2. Step 2: Convert to fraction form
    538,731/803,425 = 803,425/x
  3. Step 3: Cross multiply
    538,731x = 803,425 × 803,425
  4. Step 4: Simplify right side
    538,731x = 645,491,730,625
  5. Step 5: Solve for x
    x = 645,491,730,625/538,731
  6. Step 6: Final answer
    x = 1,198,170.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.