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Finding the Third Proportional to 45,478 and 69,198

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Solution

The third proportional to 45,478 and 69,198 is: 105,289.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,478 : 69,198 = 69,198 : x
  2. Step 2: Convert to fraction form
    45,478/69,198 = 69,198/x
  3. Step 3: Cross multiply
    45,478x = 69,198 × 69,198
  4. Step 4: Simplify right side
    45,478x = 4,788,363,204
  5. Step 5: Solve for x
    x = 4,788,363,204/45,478
  6. Step 6: Final answer
    x = 105,289.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.