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Finding the Third Proportional to 902.53 and 1,216.55

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Solution

The third proportional to 902.53 and 1,216.55 is: 1,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.53 : 1,216.55 = 1,216.55 : x
  2. Step 2: Convert to fraction form
    902.53/1,216.55 = 1,216.55/x
  3. Step 3: Cross multiply
    902.53x = 1,216.55 × 1,216.55
  4. Step 4: Simplify right side
    902.53x = 1,479,986.30
  5. Step 5: Solve for x
    x = 1,479,986.30/902.53
  6. Step 6: Final answer
    x = 1,639.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.