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Finding the Third Proportional to 396,656 and 604,272

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Solution

The third proportional to 396,656 and 604,272 is: 920,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,656 : 604,272 = 604,272 : x
  2. Step 2: Convert to fraction form
    396,656/604,272 = 604,272/x
  3. Step 3: Cross multiply
    396,656x = 604,272 × 604,272
  4. Step 4: Simplify right side
    396,656x = 365,144,649,984
  5. Step 5: Solve for x
    x = 365,144,649,984/396,656
  6. Step 6: Final answer
    x = 920,557.49

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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.