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Finding the Third Proportional to 1,386.28 and 2,989.41

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Solution

The third proportional to 1,386.28 and 2,989.41 is: 6,446.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,386.28 : 2,989.41 = 2,989.41 : x
  2. Step 2: Convert to fraction form
    1,386.28/2,989.41 = 2,989.41/x
  3. Step 3: Cross multiply
    1,386.28x = 2,989.41 × 2,989.41
  4. Step 4: Simplify right side
    1,386.28x = 8,936,549.73
  5. Step 5: Solve for x
    x = 8,936,549.73/1,386.28
  6. Step 6: Final answer
    x = 6,446.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.