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Finding the Third Proportional to 396,728 and 604,380

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Solution

The third proportional to 396,728 and 604,380 is: 920,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,728 : 604,380 = 604,380 : x
  2. Step 2: Convert to fraction form
    396,728/604,380 = 604,380/x
  3. Step 3: Cross multiply
    396,728x = 604,380 × 604,380
  4. Step 4: Simplify right side
    396,728x = 365,275,184,400
  5. Step 5: Solve for x
    x = 365,275,184,400/396,728
  6. Step 6: Final answer
    x = 920,719.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.