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Finding the Third Proportional to 531.75 and 1,236.19

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Solution

The third proportional to 531.75 and 1,236.19 is: 2,873.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.75 : 1,236.19 = 1,236.19 : x
  2. Step 2: Convert to fraction form
    531.75/1,236.19 = 1,236.19/x
  3. Step 3: Cross multiply
    531.75x = 1,236.19 × 1,236.19
  4. Step 4: Simplify right side
    531.75x = 1,528,159.54
  5. Step 5: Solve for x
    x = 1,528,159.54/531.75
  6. Step 6: Final answer
    x = 2,873.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.