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Finding the Third Proportional to 962.25 and 2,076.38

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Solution

The third proportional to 962.25 and 2,076.38 is: 4,480.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.25 : 2,076.38 = 2,076.38 : x
  2. Step 2: Convert to fraction form
    962.25/2,076.38 = 2,076.38/x
  3. Step 3: Cross multiply
    962.25x = 2,076.38 × 2,076.38
  4. Step 4: Simplify right side
    962.25x = 4,311,333.14
  5. Step 5: Solve for x
    x = 4,311,333.14/962.25
  6. Step 6: Final answer
    x = 4,480.47

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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.