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Finding the Third Proportional to 246.53 and 342.78

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Solution

The third proportional to 246.53 and 342.78 is: 476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.53 : 342.78 = 342.78 : x
  2. Step 2: Convert to fraction form
    246.53/342.78 = 342.78/x
  3. Step 3: Cross multiply
    246.53x = 342.78 × 342.78
  4. Step 4: Simplify right side
    246.53x = 117,498.99
  5. Step 5: Solve for x
    x = 117,498.99/246.53
  6. Step 6: Final answer
    x = 476.61

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.