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Finding the Third Proportional to 454.20 and 745.14

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Solution

The third proportional to 454.20 and 745.14 is: 1,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.20 : 745.14 = 745.14 : x
  2. Step 2: Convert to fraction form
    454.20/745.14 = 745.14/x
  3. Step 3: Cross multiply
    454.20x = 745.14 × 745.14
  4. Step 4: Simplify right side
    454.20x = 555,228.73
  5. Step 5: Solve for x
    x = 555,228.73/454.20
  6. Step 6: Final answer
    x = 1,222.43

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.