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Finding the Third Proportional to 396,615.38 and 604,217.81

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Solution

The third proportional to 396,615.38 and 604,217.81 is: 920,486.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,615.38 : 604,217.81 = 604,217.81 : x
  2. Step 2: Convert to fraction form
    396,615.38/604,217.81 = 604,217.81/x
  3. Step 3: Cross multiply
    396,615.38x = 604,217.81 × 604,217.81
  4. Step 4: Simplify right side
    396,615.38x = 365,079,164,942.29
  5. Step 5: Solve for x
    x = 365,079,164,942.29/396,615.38
  6. Step 6: Final answer
    x = 920,486.67

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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.