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Finding the Third Proportional to 396,652 and 578,363

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Solution

The third proportional to 396,652 and 578,363 is: 843,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,652 : 578,363 = 578,363 : x
  2. Step 2: Convert to fraction form
    396,652/578,363 = 578,363/x
  3. Step 3: Cross multiply
    396,652x = 578,363 × 578,363
  4. Step 4: Simplify right side
    396,652x = 334,503,759,769
  5. Step 5: Solve for x
    x = 334,503,759,769/396,652
  6. Step 6: Final answer
    x = 843,317.97

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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.