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Finding the Third Proportional to 688.22 and 1,474.31

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Solution

The third proportional to 688.22 and 1,474.31 is: 3,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.22 : 1,474.31 = 1,474.31 : x
  2. Step 2: Convert to fraction form
    688.22/1,474.31 = 1,474.31/x
  3. Step 3: Cross multiply
    688.22x = 1,474.31 × 1,474.31
  4. Step 4: Simplify right side
    688.22x = 2,173,597.35
  5. Step 5: Solve for x
    x = 2,173,597.35/688.22
  6. Step 6: Final answer
    x = 3,158.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.