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Finding the Third Proportional to 396,615.75 and 578,311.50

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Solution

The third proportional to 396,615.75 and 578,311.50 is: 843,244.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,615.75 : 578,311.50 = 578,311.50 : x
  2. Step 2: Convert to fraction form
    396,615.75/578,311.50 = 578,311.50/x
  3. Step 3: Cross multiply
    396,615.75x = 578,311.50 × 578,311.50
  4. Step 4: Simplify right side
    396,615.75x = 334,444,191,032.25
  5. Step 5: Solve for x
    x = 334,444,191,032.25/396,615.75
  6. Step 6: Final answer
    x = 843,244.86

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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.