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Finding the Third Proportional to 515.25 and 1,114.31

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Solution

The third proportional to 515.25 and 1,114.31 is: 2,409.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.25 : 1,114.31 = 1,114.31 : x
  2. Step 2: Convert to fraction form
    515.25/1,114.31 = 1,114.31/x
  3. Step 3: Cross multiply
    515.25x = 1,114.31 × 1,114.31
  4. Step 4: Simplify right side
    515.25x = 1,241,692.35
  5. Step 5: Solve for x
    x = 1,241,692.35/515.25
  6. Step 6: Final answer
    x = 2,409.88

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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.