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Finding the Third Proportional to 902.75 and 1,929.25

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Solution

The third proportional to 902.75 and 1,929.25 is: 4,122.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.75 : 1,929.25 = 1,929.25 : x
  2. Step 2: Convert to fraction form
    902.75/1,929.25 = 1,929.25/x
  3. Step 3: Cross multiply
    902.75x = 1,929.25 × 1,929.25
  4. Step 4: Simplify right side
    902.75x = 3,722,005.56
  5. Step 5: Solve for x
    x = 3,722,005.56/902.75
  6. Step 6: Final answer
    x = 4,122.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.