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Finding the Third Proportional to 687.19 and 1,511.06

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Solution

The third proportional to 687.19 and 1,511.06 is: 3,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.19 : 1,511.06 = 1,511.06 : x
  2. Step 2: Convert to fraction form
    687.19/1,511.06 = 1,511.06/x
  3. Step 3: Cross multiply
    687.19x = 1,511.06 × 1,511.06
  4. Step 4: Simplify right side
    687.19x = 2,283,309.88
  5. Step 5: Solve for x
    x = 2,283,309.88/687.19
  6. Step 6: Final answer
    x = 3,322.69

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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.