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Finding the Third Proportional to 396,610 and 604,207

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Solution

The third proportional to 396,610 and 604,207 is: 920,466.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,610 : 604,207 = 604,207 : x
  2. Step 2: Convert to fraction form
    396,610/604,207 = 604,207/x
  3. Step 3: Cross multiply
    396,610x = 604,207 × 604,207
  4. Step 4: Simplify right side
    396,610x = 365,066,098,849
  5. Step 5: Solve for x
    x = 365,066,098,849/396,610
  6. Step 6: Final answer
    x = 920,466.20

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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.