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Finding the Third Proportional to 443.39 and 974.95

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Solution

The third proportional to 443.39 and 974.95 is: 2,143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.39 : 974.95 = 974.95 : x
  2. Step 2: Convert to fraction form
    443.39/974.95 = 974.95/x
  3. Step 3: Cross multiply
    443.39x = 974.95 × 974.95
  4. Step 4: Simplify right side
    443.39x = 950,533.60
  5. Step 5: Solve for x
    x = 950,533.60/443.39
  6. Step 6: Final answer
    x = 2,143.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.