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Finding the Third Proportional to 392.34 and 454.36

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Solution

The third proportional to 392.34 and 454.36 is: 526.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.34 : 454.36 = 454.36 : x
  2. Step 2: Convert to fraction form
    392.34/454.36 = 454.36/x
  3. Step 3: Cross multiply
    392.34x = 454.36 × 454.36
  4. Step 4: Simplify right side
    392.34x = 206,442.44
  5. Step 5: Solve for x
    x = 206,442.44/392.34
  6. Step 6: Final answer
    x = 526.18

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.