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Finding the Third Proportional to 979 and 2,107.25

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Solution

The third proportional to 979 and 2,107.25 is: 4,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    979 : 2,107.25 = 2,107.25 : x
  2. Step 2: Convert to fraction form
    979/2,107.25 = 2,107.25/x
  3. Step 3: Cross multiply
    979x = 2,107.25 × 2,107.25
  4. Step 4: Simplify right side
    979x = 4,440,502.56
  5. Step 5: Solve for x
    x = 4,440,502.56/979
  6. Step 6: Final answer
    x = 4,535.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.