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Finding the Third Proportional to 1,397.96 and 2,989.33

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Solution

The third proportional to 1,397.96 and 2,989.33 is: 6,392.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.96 : 2,989.33 = 2,989.33 : x
  2. Step 2: Convert to fraction form
    1,397.96/2,989.33 = 2,989.33/x
  3. Step 3: Cross multiply
    1,397.96x = 2,989.33 × 2,989.33
  4. Step 4: Simplify right side
    1,397.96x = 8,936,076.80
  5. Step 5: Solve for x
    x = 8,936,076.80/1,397.96
  6. Step 6: Final answer
    x = 6,392.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.