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Finding the Third Proportional to 41,508 and 90,072

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Solution

The third proportional to 41,508 and 90,072 is: 195,455.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,508 : 90,072 = 90,072 : x
  2. Step 2: Convert to fraction form
    41,508/90,072 = 90,072/x
  3. Step 3: Cross multiply
    41,508x = 90,072 × 90,072
  4. Step 4: Simplify right side
    41,508x = 8,112,965,184
  5. Step 5: Solve for x
    x = 8,112,965,184/41,508
  6. Step 6: Final answer
    x = 195,455.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.