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Finding the Third Proportional to 356,825 and 521,839

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Solution

The third proportional to 356,825 and 521,839 is: 763,163.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,825 : 521,839 = 521,839 : x
  2. Step 2: Convert to fraction form
    356,825/521,839 = 521,839/x
  3. Step 3: Cross multiply
    356,825x = 521,839 × 521,839
  4. Step 4: Simplify right side
    356,825x = 272,315,941,921
  5. Step 5: Solve for x
    x = 272,315,941,921/356,825
  6. Step 6: Final answer
    x = 763,163.85

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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.