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Finding the Third Proportional to 1,211.25 and 2,916.75

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Solution

The third proportional to 1,211.25 and 2,916.75 is: 7,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.25 : 2,916.75 = 2,916.75 : x
  2. Step 2: Convert to fraction form
    1,211.25/2,916.75 = 2,916.75/x
  3. Step 3: Cross multiply
    1,211.25x = 2,916.75 × 2,916.75
  4. Step 4: Simplify right side
    1,211.25x = 8,507,430.56
  5. Step 5: Solve for x
    x = 8,507,430.56/1,211.25
  6. Step 6: Final answer
    x = 7,023.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.