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Finding the Third Proportional to 902.50 and 1,272.25

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Solution

The third proportional to 902.50 and 1,272.25 is: 1,793.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.50 : 1,272.25 = 1,272.25 : x
  2. Step 2: Convert to fraction form
    902.50/1,272.25 = 1,272.25/x
  3. Step 3: Cross multiply
    902.50x = 1,272.25 × 1,272.25
  4. Step 4: Simplify right side
    902.50x = 1,618,620.06
  5. Step 5: Solve for x
    x = 1,618,620.06/902.50
  6. Step 6: Final answer
    x = 1,793.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.