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Finding the Third Proportional to 974.81 and 2,131.88

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Solution

The third proportional to 974.81 and 2,131.88 is: 4,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.81 : 2,131.88 = 2,131.88 : x
  2. Step 2: Convert to fraction form
    974.81/2,131.88 = 2,131.88/x
  3. Step 3: Cross multiply
    974.81x = 2,131.88 × 2,131.88
  4. Step 4: Simplify right side
    974.81x = 4,544,891.02
  5. Step 5: Solve for x
    x = 4,544,891.02/974.81
  6. Step 6: Final answer
    x = 4,662.32

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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.