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Finding the Third Proportional to 246.94 and 385.31

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Solution

The third proportional to 246.94 and 385.31 is: 601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.94 : 385.31 = 385.31 : x
  2. Step 2: Convert to fraction form
    246.94/385.31 = 385.31/x
  3. Step 3: Cross multiply
    246.94x = 385.31 × 385.31
  4. Step 4: Simplify right side
    246.94x = 148,465.72
  5. Step 5: Solve for x
    x = 148,465.72/246.94
  6. Step 6: Final answer
    x = 601.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.