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Finding the Third Proportional to 396,706 and 604,353

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Solution

The third proportional to 396,706 and 604,353 is: 920,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,706 : 604,353 = 604,353 : x
  2. Step 2: Convert to fraction form
    396,706/604,353 = 604,353/x
  3. Step 3: Cross multiply
    396,706x = 604,353 × 604,353
  4. Step 4: Simplify right side
    396,706x = 365,242,548,609
  5. Step 5: Solve for x
    x = 365,242,548,609/396,706
  6. Step 6: Final answer
    x = 920,688.24

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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.