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Finding the Third Proportional to 396,447.75 and 603,966.38

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Solution

The third proportional to 396,447.75 and 603,966.38 is: 920,109.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,447.75 : 603,966.38 = 603,966.38 : x
  2. Step 2: Convert to fraction form
    396,447.75/603,966.38 = 603,966.38/x
  3. Step 3: Cross multiply
    396,447.75x = 603,966.38 × 603,966.38
  4. Step 4: Simplify right side
    396,447.75x = 364,775,382,130.64
  5. Step 5: Solve for x
    x = 364,775,382,130.64/396,447.75
  6. Step 6: Final answer
    x = 920,109.60

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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.