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Finding the Third Proportional to 917.67 and 1,965.19

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Solution

The third proportional to 917.67 and 1,965.19 is: 4,208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.67 : 1,965.19 = 1,965.19 : x
  2. Step 2: Convert to fraction form
    917.67/1,965.19 = 1,965.19/x
  3. Step 3: Cross multiply
    917.67x = 1,965.19 × 1,965.19
  4. Step 4: Simplify right side
    917.67x = 3,861,961.91
  5. Step 5: Solve for x
    x = 3,861,961.91/917.67
  6. Step 6: Final answer
    x = 4,208.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.