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Finding the Third Proportional to 391,796 and 581,934

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Solution

The third proportional to 391,796 and 581,934 is: 864,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,796 : 581,934 = 581,934 : x
  2. Step 2: Convert to fraction form
    391,796/581,934 = 581,934/x
  3. Step 3: Cross multiply
    391,796x = 581,934 × 581,934
  4. Step 4: Simplify right side
    391,796x = 338,647,180,356
  5. Step 5: Solve for x
    x = 338,647,180,356/391,796
  6. Step 6: Final answer
    x = 864,345.68

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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.