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Finding the Third Proportional to 968.91 and 2,118.09

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Solution

The third proportional to 968.91 and 2,118.09 is: 4,630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.91 : 2,118.09 = 2,118.09 : x
  2. Step 2: Convert to fraction form
    968.91/2,118.09 = 2,118.09/x
  3. Step 3: Cross multiply
    968.91x = 2,118.09 × 2,118.09
  4. Step 4: Simplify right side
    968.91x = 4,486,321.13
  5. Step 5: Solve for x
    x = 4,486,321.13/968.91
  6. Step 6: Final answer
    x = 4,630.29

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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.