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Finding the Third Proportional to 396,639 and 578,343

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Solution

The third proportional to 396,639 and 578,343 is: 843,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,639 : 578,343 = 578,343 : x
  2. Step 2: Convert to fraction form
    396,639/578,343 = 578,343/x
  3. Step 3: Cross multiply
    396,639x = 578,343 × 578,343
  4. Step 4: Simplify right side
    396,639x = 334,480,625,649
  5. Step 5: Solve for x
    x = 334,480,625,649/396,639
  6. Step 6: Final answer
    x = 843,287.29

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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.