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Finding the Third Proportional to 945 and 2,072.25

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Solution

The third proportional to 945 and 2,072.25 is: 4,544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    945 : 2,072.25 = 2,072.25 : x
  2. Step 2: Convert to fraction form
    945/2,072.25 = 2,072.25/x
  3. Step 3: Cross multiply
    945x = 2,072.25 × 2,072.25
  4. Step 4: Simplify right side
    945x = 4,294,220.06
  5. Step 5: Solve for x
    x = 4,294,220.06/945
  6. Step 6: Final answer
    x = 4,544.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.