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Finding the Third Proportional to 305,217.75 and 449,002.50

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Solution

The third proportional to 305,217.75 and 449,002.50 is: 660,522.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,217.75 : 449,002.50 = 449,002.50 : x
  2. Step 2: Convert to fraction form
    305,217.75/449,002.50 = 449,002.50/x
  3. Step 3: Cross multiply
    305,217.75x = 449,002.50 × 449,002.50
  4. Step 4: Simplify right side
    305,217.75x = 201,603,245,006.25
  5. Step 5: Solve for x
    x = 201,603,245,006.25/305,217.75
  6. Step 6: Final answer
    x = 660,522.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.