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Finding the Third Proportional to 512.81 and 1,047.56

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Solution

The third proportional to 512.81 and 1,047.56 is: 2,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.81 : 1,047.56 = 1,047.56 : x
  2. Step 2: Convert to fraction form
    512.81/1,047.56 = 1,047.56/x
  3. Step 3: Cross multiply
    512.81x = 1,047.56 × 1,047.56
  4. Step 4: Simplify right side
    512.81x = 1,097,387.19
  5. Step 5: Solve for x
    x = 1,097,387.19/512.81
  6. Step 6: Final answer
    x = 2,139.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.