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Finding the Third Proportional to 69,206 and 90,872

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Solution

The third proportional to 69,206 and 90,872 is: 119,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,206 : 90,872 = 90,872 : x
  2. Step 2: Convert to fraction form
    69,206/90,872 = 90,872/x
  3. Step 3: Cross multiply
    69,206x = 90,872 × 90,872
  4. Step 4: Simplify right side
    69,206x = 8,257,720,384
  5. Step 5: Solve for x
    x = 8,257,720,384/69,206
  6. Step 6: Final answer
    x = 119,320.87

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.