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Finding the Third Proportional to 1,646.44 and 3,638.53

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Solution

The third proportional to 1,646.44 and 3,638.53 is: 8,040.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.44 : 3,638.53 = 3,638.53 : x
  2. Step 2: Convert to fraction form
    1,646.44/3,638.53 = 3,638.53/x
  3. Step 3: Cross multiply
    1,646.44x = 3,638.53 × 3,638.53
  4. Step 4: Simplify right side
    1,646.44x = 13,238,909.66
  5. Step 5: Solve for x
    x = 13,238,909.66/1,646.44
  6. Step 6: Final answer
    x = 8,040.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.