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Finding the Third Proportional to 643.03 and 1,388.53

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Solution

The third proportional to 643.03 and 1,388.53 is: 2,998.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.03 : 1,388.53 = 1,388.53 : x
  2. Step 2: Convert to fraction form
    643.03/1,388.53 = 1,388.53/x
  3. Step 3: Cross multiply
    643.03x = 1,388.53 × 1,388.53
  4. Step 4: Simplify right side
    643.03x = 1,928,019.03
  5. Step 5: Solve for x
    x = 1,928,019.03/643.03
  6. Step 6: Final answer
    x = 2,998.33

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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.