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Finding the Third Proportional to 988.88 and 2,149.31

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Solution

The third proportional to 988.88 and 2,149.31 is: 4,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.88 : 2,149.31 = 2,149.31 : x
  2. Step 2: Convert to fraction form
    988.88/2,149.31 = 2,149.31/x
  3. Step 3: Cross multiply
    988.88x = 2,149.31 × 2,149.31
  4. Step 4: Simplify right side
    988.88x = 4,619,544.22
  5. Step 5: Solve for x
    x = 4,619,544.22/988.88
  6. Step 6: Final answer
    x = 4,671.51

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.