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Finding the Third Proportional to 3,977.23 and 8,646.43

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Solution

The third proportional to 3,977.23 and 8,646.43 is: 18,797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.23 : 8,646.43 = 8,646.43 : x
  2. Step 2: Convert to fraction form
    3,977.23/8,646.43 = 8,646.43/x
  3. Step 3: Cross multiply
    3,977.23x = 8,646.43 × 8,646.43
  4. Step 4: Simplify right side
    3,977.23x = 74,760,813.89
  5. Step 5: Solve for x
    x = 74,760,813.89/3,977.23
  6. Step 6: Final answer
    x = 18,797.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.