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Finding the Third Proportional to 391,812 and 581,958

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Solution

The third proportional to 391,812 and 581,958 is: 864,381.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,812 : 581,958 = 581,958 : x
  2. Step 2: Convert to fraction form
    391,812/581,958 = 581,958/x
  3. Step 3: Cross multiply
    391,812x = 581,958 × 581,958
  4. Step 4: Simplify right side
    391,812x = 338,675,113,764
  5. Step 5: Solve for x
    x = 338,675,113,764/391,812
  6. Step 6: Final answer
    x = 864,381.68

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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.