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Finding the Third Proportional to 392.63 and 608.31

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Solution

The third proportional to 392.63 and 608.31 is: 942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.63 : 608.31 = 608.31 : x
  2. Step 2: Convert to fraction form
    392.63/608.31 = 608.31/x
  3. Step 3: Cross multiply
    392.63x = 608.31 × 608.31
  4. Step 4: Simplify right side
    392.63x = 370,044.10
  5. Step 5: Solve for x
    x = 370,044.10/392.63
  6. Step 6: Final answer
    x = 942.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.