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Finding the Third Proportional to 18,865 and 41,320

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Solution

The third proportional to 18,865 and 41,320 is: 90,503.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,865 : 41,320 = 41,320 : x
  2. Step 2: Convert to fraction form
    18,865/41,320 = 41,320/x
  3. Step 3: Cross multiply
    18,865x = 41,320 × 41,320
  4. Step 4: Simplify right side
    18,865x = 1,707,342,400
  5. Step 5: Solve for x
    x = 1,707,342,400/18,865
  6. Step 6: Final answer
    x = 90,503.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.