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Finding the Third Proportional to 410.75 and 911.75

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Solution

The third proportional to 410.75 and 911.75 is: 2,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.75 : 911.75 = 911.75 : x
  2. Step 2: Convert to fraction form
    410.75/911.75 = 911.75/x
  3. Step 3: Cross multiply
    410.75x = 911.75 × 911.75
  4. Step 4: Simplify right side
    410.75x = 831,288.06
  5. Step 5: Solve for x
    x = 831,288.06/410.75
  6. Step 6: Final answer
    x = 2,023.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.