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Finding the Third Proportional to 4,062.66 and 8,447.41

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Solution

The third proportional to 4,062.66 and 8,447.41 is: 17,564.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.66 : 8,447.41 = 8,447.41 : x
  2. Step 2: Convert to fraction form
    4,062.66/8,447.41 = 8,447.41/x
  3. Step 3: Cross multiply
    4,062.66x = 8,447.41 × 8,447.41
  4. Step 4: Simplify right side
    4,062.66x = 71,358,804.34
  5. Step 5: Solve for x
    x = 71,358,804.34/4,062.66
  6. Step 6: Final answer
    x = 17,564.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.