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Finding the Third Proportional to 811.55 and 1,753.17

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Solution

The third proportional to 811.55 and 1,753.17 is: 3,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.55 : 1,753.17 = 1,753.17 : x
  2. Step 2: Convert to fraction form
    811.55/1,753.17 = 1,753.17/x
  3. Step 3: Cross multiply
    811.55x = 1,753.17 × 1,753.17
  4. Step 4: Simplify right side
    811.55x = 3,073,611.62
  5. Step 5: Solve for x
    x = 3,073,611.62/811.55
  6. Step 6: Final answer
    x = 3,787.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.