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Finding the Third Proportional to 396,613.97 and 578,309.63

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Solution

The third proportional to 396,613.97 and 578,309.63 is: 843,243.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,613.97 : 578,309.63 = 578,309.63 : x
  2. Step 2: Convert to fraction form
    396,613.97/578,309.63 = 578,309.63/x
  3. Step 3: Cross multiply
    396,613.97x = 578,309.63 × 578,309.63
  4. Step 4: Simplify right side
    396,613.97x = 334,442,022,367.64
  5. Step 5: Solve for x
    x = 334,442,022,367.64/396,613.97
  6. Step 6: Final answer
    x = 843,243.18

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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.