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Finding the Third Proportional to 41,628 and 90,645

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Solution

The third proportional to 41,628 and 90,645 is: 197,379.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,628 : 90,645 = 90,645 : x
  2. Step 2: Convert to fraction form
    41,628/90,645 = 90,645/x
  3. Step 3: Cross multiply
    41,628x = 90,645 × 90,645
  4. Step 4: Simplify right side
    41,628x = 8,216,516,025
  5. Step 5: Solve for x
    x = 8,216,516,025/41,628
  6. Step 6: Final answer
    x = 197,379.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.