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Finding the Third Proportional to 39,567 and 91,520

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Solution

The third proportional to 39,567 and 91,520 is: 211,689.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,567 : 91,520 = 91,520 : x
  2. Step 2: Convert to fraction form
    39,567/91,520 = 91,520/x
  3. Step 3: Cross multiply
    39,567x = 91,520 × 91,520
  4. Step 4: Simplify right side
    39,567x = 8,375,910,400
  5. Step 5: Solve for x
    x = 8,375,910,400/39,567
  6. Step 6: Final answer
    x = 211,689.30

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.