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Finding the Third Proportional to 396,642 and 578,348

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Solution

The third proportional to 396,642 and 578,348 is: 843,295.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,642 : 578,348 = 578,348 : x
  2. Step 2: Convert to fraction form
    396,642/578,348 = 578,348/x
  3. Step 3: Cross multiply
    396,642x = 578,348 × 578,348
  4. Step 4: Simplify right side
    396,642x = 334,486,409,104
  5. Step 5: Solve for x
    x = 334,486,409,104/396,642
  6. Step 6: Final answer
    x = 843,295.49

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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.