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Finding the Third Proportional to 1,981.41 and 4,685.80

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Solution

The third proportional to 1,981.41 and 4,685.80 is: 11,081.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.41 : 4,685.80 = 4,685.80 : x
  2. Step 2: Convert to fraction form
    1,981.41/4,685.80 = 4,685.80/x
  3. Step 3: Cross multiply
    1,981.41x = 4,685.80 × 4,685.80
  4. Step 4: Simplify right side
    1,981.41x = 21,956,765.57
  5. Step 5: Solve for x
    x = 21,956,765.57/1,981.41
  6. Step 6: Final answer
    x = 11,081.41

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.