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Finding the Third Proportional to 761.44 and 1,638.19

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Solution

The third proportional to 761.44 and 1,638.19 is: 3,524.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.44 : 1,638.19 = 1,638.19 : x
  2. Step 2: Convert to fraction form
    761.44/1,638.19 = 1,638.19/x
  3. Step 3: Cross multiply
    761.44x = 1,638.19 × 1,638.19
  4. Step 4: Simplify right side
    761.44x = 2,683,658.29
  5. Step 5: Solve for x
    x = 2,683,658.29/761.44
  6. Step 6: Final answer
    x = 3,524.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.