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Finding the Third Proportional to 391.75 and 917.19

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Solution

The third proportional to 391.75 and 917.19 is: 2,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    391.75 : 917.19 = 917.19 : x
  2. Step 2: Convert to fraction form
    391.75/917.19 = 917.19/x
  3. Step 3: Cross multiply
    391.75x = 917.19 × 917.19
  4. Step 4: Simplify right side
    391.75x = 841,232.91
  5. Step 5: Solve for x
    x = 841,232.91/391.75
  6. Step 6: Final answer
    x = 2,147.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.