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Finding the Third Proportional to 454.11 and 713.60

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Solution

The third proportional to 454.11 and 713.60 is: 1,121.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.11 : 713.60 = 713.60 : x
  2. Step 2: Convert to fraction form
    454.11/713.60 = 713.60/x
  3. Step 3: Cross multiply
    454.11x = 713.60 × 713.60
  4. Step 4: Simplify right side
    454.11x = 509,231.89
  5. Step 5: Solve for x
    x = 509,231.89/454.11
  6. Step 6: Final answer
    x = 1,121.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.