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Finding the Third Proportional to 2,166.12 and 4,689.77

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Solution

The third proportional to 2,166.12 and 4,689.77 is: 10,153.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.12 : 4,689.77 = 4,689.77 : x
  2. Step 2: Convert to fraction form
    2,166.12/4,689.77 = 4,689.77/x
  3. Step 3: Cross multiply
    2,166.12x = 4,689.77 × 4,689.77
  4. Step 4: Simplify right side
    2,166.12x = 21,993,974.90
  5. Step 5: Solve for x
    x = 21,993,974.90/2,166.12
  6. Step 6: Final answer
    x = 10,153.64

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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.