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Finding the Third Proportional to 454.31 and 730.41

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Solution

The third proportional to 454.31 and 730.41 is: 1,174.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.31 : 730.41 = 730.41 : x
  2. Step 2: Convert to fraction form
    454.31/730.41 = 730.41/x
  3. Step 3: Cross multiply
    454.31x = 730.41 × 730.41
  4. Step 4: Simplify right side
    454.31x = 533,493.29
  5. Step 5: Solve for x
    x = 533,493.29/454.31
  6. Step 6: Final answer
    x = 1,174.29

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.