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Finding the Third Proportional to 454.11 and 843.35

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Solution

The third proportional to 454.11 and 843.35 is: 1,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.11 : 843.35 = 843.35 : x
  2. Step 2: Convert to fraction form
    454.11/843.35 = 843.35/x
  3. Step 3: Cross multiply
    454.11x = 843.35 × 843.35
  4. Step 4: Simplify right side
    454.11x = 711,241.24
  5. Step 5: Solve for x
    x = 711,241.24/454.11
  6. Step 6: Final answer
    x = 1,566.22

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.