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Finding the Third Proportional to 396,619.75 and 604,224.50

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Solution

The third proportional to 396,619.75 and 604,224.50 is: 920,496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,619.75 : 604,224.50 = 604,224.50 : x
  2. Step 2: Convert to fraction form
    396,619.75/604,224.50 = 604,224.50/x
  3. Step 3: Cross multiply
    396,619.75x = 604,224.50 × 604,224.50
  4. Step 4: Simplify right side
    396,619.75x = 365,087,246,400.25
  5. Step 5: Solve for x
    x = 365,087,246,400.25/396,619.75
  6. Step 6: Final answer
    x = 920,496.89

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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.