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Finding the Third Proportional to 388.97 and 913.36

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Solution

The third proportional to 388.97 and 913.36 is: 2,144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.97 : 913.36 = 913.36 : x
  2. Step 2: Convert to fraction form
    388.97/913.36 = 913.36/x
  3. Step 3: Cross multiply
    388.97x = 913.36 × 913.36
  4. Step 4: Simplify right side
    388.97x = 834,225.35
  5. Step 5: Solve for x
    x = 834,225.35/388.97
  6. Step 6: Final answer
    x = 2,144.71

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.