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Finding the Third Proportional to 30,872.50 and 66,425

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Solution

The third proportional to 30,872.50 and 66,425 is: 142,919.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.50 : 66,425 = 66,425 : x
  2. Step 2: Convert to fraction form
    30,872.50/66,425 = 66,425/x
  3. Step 3: Cross multiply
    30,872.50x = 66,425 × 66,425
  4. Step 4: Simplify right side
    30,872.50x = 4,412,280,625
  5. Step 5: Solve for x
    x = 4,412,280,625/30,872.50
  6. Step 6: Final answer
    x = 142,919.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.