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Finding the Third Proportional to 974.63 and 2,138.06

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Solution

The third proportional to 974.63 and 2,138.06 is: 4,690.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.63 : 2,138.06 = 2,138.06 : x
  2. Step 2: Convert to fraction form
    974.63/2,138.06 = 2,138.06/x
  3. Step 3: Cross multiply
    974.63x = 2,138.06 × 2,138.06
  4. Step 4: Simplify right side
    974.63x = 4,571,311.25
  5. Step 5: Solve for x
    x = 4,571,311.25/974.63
  6. Step 6: Final answer
    x = 4,690.33

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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.