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Finding the Third Proportional to 396,631.69 and 604,247.34

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Solution

The third proportional to 396,631.69 and 604,247.34 is: 920,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,631.69 : 604,247.34 = 604,247.34 : x
  2. Step 2: Convert to fraction form
    396,631.69/604,247.34 = 604,247.34/x
  3. Step 3: Cross multiply
    396,631.69x = 604,247.34 × 604,247.34
  4. Step 4: Simplify right side
    396,631.69x = 365,114,852,428.93
  5. Step 5: Solve for x
    x = 365,114,852,428.93/396,631.69
  6. Step 6: Final answer
    x = 920,538.79

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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.