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Finding the Third Proportional to 909.75 and 2,166.38

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Solution

The third proportional to 909.75 and 2,166.38 is: 5,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.75 : 2,166.38 = 2,166.38 : x
  2. Step 2: Convert to fraction form
    909.75/2,166.38 = 2,166.38/x
  3. Step 3: Cross multiply
    909.75x = 2,166.38 × 2,166.38
  4. Step 4: Simplify right side
    909.75x = 4,693,180.64
  5. Step 5: Solve for x
    x = 4,693,180.64/909.75
  6. Step 6: Final answer
    x = 5,158.76

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.