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Finding the Third Proportional to 962.25 and 2,244.94

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Solution

The third proportional to 962.25 and 2,244.94 is: 5,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.25 : 2,244.94 = 2,244.94 : x
  2. Step 2: Convert to fraction form
    962.25/2,244.94 = 2,244.94/x
  3. Step 3: Cross multiply
    962.25x = 2,244.94 × 2,244.94
  4. Step 4: Simplify right side
    962.25x = 5,039,744.38
  5. Step 5: Solve for x
    x = 5,039,744.38/962.25
  6. Step 6: Final answer
    x = 5,237.46

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.