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Finding the Third Proportional to 67,272.75 and 142,745.63

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Solution

The third proportional to 67,272.75 and 142,745.63 is: 302,891.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,272.75 : 142,745.63 = 142,745.63 : x
  2. Step 2: Convert to fraction form
    67,272.75/142,745.63 = 142,745.63/x
  3. Step 3: Cross multiply
    67,272.75x = 142,745.63 × 142,745.63
  4. Step 4: Simplify right side
    67,272.75x = 20,376,313,456.64
  5. Step 5: Solve for x
    x = 20,376,313,456.64/67,272.75
  6. Step 6: Final answer
    x = 302,891.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.