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Finding the Third Proportional to 1,638.56 and 2,466.84

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Solution

The third proportional to 1,638.56 and 2,466.84 is: 3,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.56 : 2,466.84 = 2,466.84 : x
  2. Step 2: Convert to fraction form
    1,638.56/2,466.84 = 2,466.84/x
  3. Step 3: Cross multiply
    1,638.56x = 2,466.84 × 2,466.84
  4. Step 4: Simplify right side
    1,638.56x = 6,085,318.09
  5. Step 5: Solve for x
    x = 6,085,318.09/1,638.56
  6. Step 6: Final answer
    x = 3,713.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.