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Finding the Third Proportional to 3,166.59 and 6,952.08

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Solution

The third proportional to 3,166.59 and 6,952.08 is: 15,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,166.59 : 6,952.08 = 6,952.08 : x
  2. Step 2: Convert to fraction form
    3,166.59/6,952.08 = 6,952.08/x
  3. Step 3: Cross multiply
    3,166.59x = 6,952.08 × 6,952.08
  4. Step 4: Simplify right side
    3,166.59x = 48,331,390.26
  5. Step 5: Solve for x
    x = 48,331,390.26/3,166.59
  6. Step 6: Final answer
    x = 15,262.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.