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Finding the Third Proportional to 543.56 and 1,313.81

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Solution

The third proportional to 543.56 and 1,313.81 is: 3,175.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.56 : 1,313.81 = 1,313.81 : x
  2. Step 2: Convert to fraction form
    543.56/1,313.81 = 1,313.81/x
  3. Step 3: Cross multiply
    543.56x = 1,313.81 × 1,313.81
  4. Step 4: Simplify right side
    543.56x = 1,726,103.29
  5. Step 5: Solve for x
    x = 1,726,103.29/543.56
  6. Step 6: Final answer
    x = 3,175.54

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.