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Finding the Third Proportional to 396,735.75 and 578,470.50

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Solution

The third proportional to 396,735.75 and 578,470.50 is: 843,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,735.75 : 578,470.50 = 578,470.50 : x
  2. Step 2: Convert to fraction form
    396,735.75/578,470.50 = 578,470.50/x
  3. Step 3: Cross multiply
    396,735.75x = 578,470.50 × 578,470.50
  4. Step 4: Simplify right side
    396,735.75x = 334,628,119,370.25
  5. Step 5: Solve for x
    x = 334,628,119,370.25/396,735.75
  6. Step 6: Final answer
    x = 843,453.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.