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Finding the Third Proportional to 396,619.25 and 604,223.63

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Solution

The third proportional to 396,619.25 and 604,223.63 is: 920,495.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,619.25 : 604,223.63 = 604,223.63 : x
  2. Step 2: Convert to fraction form
    396,619.25/604,223.63 = 604,223.63/x
  3. Step 3: Cross multiply
    396,619.25x = 604,223.63 × 604,223.63
  4. Step 4: Simplify right side
    396,619.25x = 365,086,189,008.14
  5. Step 5: Solve for x
    x = 365,086,189,008.14/396,619.25
  6. Step 6: Final answer
    x = 920,495.38

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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.