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Finding the Third Proportional to 688.56 and 1,513.19

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Solution

The third proportional to 688.56 and 1,513.19 is: 3,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.56 : 1,513.19 = 1,513.19 : x
  2. Step 2: Convert to fraction form
    688.56/1,513.19 = 1,513.19/x
  3. Step 3: Cross multiply
    688.56x = 1,513.19 × 1,513.19
  4. Step 4: Simplify right side
    688.56x = 2,289,736.41
  5. Step 5: Solve for x
    x = 2,289,736.41/688.56
  6. Step 6: Final answer
    x = 3,325.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.