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Finding the Third Proportional to 683.86 and 892.90

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Solution

The third proportional to 683.86 and 892.90 is: 1,165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.86 : 892.90 = 892.90 : x
  2. Step 2: Convert to fraction form
    683.86/892.90 = 892.90/x
  3. Step 3: Cross multiply
    683.86x = 892.90 × 892.90
  4. Step 4: Simplify right side
    683.86x = 797,267.62
  5. Step 5: Solve for x
    x = 797,267.62/683.86
  6. Step 6: Final answer
    x = 1,165.84

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.