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Finding the Third Proportional to 318,847.50 and 488,315.25

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Solution

The third proportional to 318,847.50 and 488,315.25 is: 747,855.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,847.50 : 488,315.25 = 488,315.25 : x
  2. Step 2: Convert to fraction form
    318,847.50/488,315.25 = 488,315.25/x
  3. Step 3: Cross multiply
    318,847.50x = 488,315.25 × 488,315.25
  4. Step 4: Simplify right side
    318,847.50x = 238,451,783,382.56
  5. Step 5: Solve for x
    x = 238,451,783,382.56/318,847.50
  6. Step 6: Final answer
    x = 747,855.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.