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Finding the Third Proportional to 974.75 and 2,158.75

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Solution

The third proportional to 974.75 and 2,158.75 is: 4,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.75 : 2,158.75 = 2,158.75 : x
  2. Step 2: Convert to fraction form
    974.75/2,158.75 = 2,158.75/x
  3. Step 3: Cross multiply
    974.75x = 2,158.75 × 2,158.75
  4. Step 4: Simplify right side
    974.75x = 4,660,201.56
  5. Step 5: Solve for x
    x = 4,660,201.56/974.75
  6. Step 6: Final answer
    x = 4,780.92

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.