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Finding the Third Proportional to 513.53 and 1,119.76

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Solution

The third proportional to 513.53 and 1,119.76 is: 2,441.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.53 : 1,119.76 = 1,119.76 : x
  2. Step 2: Convert to fraction form
    513.53/1,119.76 = 1,119.76/x
  3. Step 3: Cross multiply
    513.53x = 1,119.76 × 1,119.76
  4. Step 4: Simplify right side
    513.53x = 1,253,866.31
  5. Step 5: Solve for x
    x = 1,253,866.31/513.53
  6. Step 6: Final answer
    x = 2,441.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.