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Finding the Third Proportional to 396,654 and 604,278

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Solution

The third proportional to 396,654 and 604,278 is: 920,580.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,654 : 604,278 = 604,278 : x
  2. Step 2: Convert to fraction form
    396,654/604,278 = 604,278/x
  3. Step 3: Cross multiply
    396,654x = 604,278 × 604,278
  4. Step 4: Simplify right side
    396,654x = 365,151,901,284
  5. Step 5: Solve for x
    x = 365,151,901,284/396,654
  6. Step 6: Final answer
    x = 920,580.41

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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.