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Finding the Third Proportional to 246.52 and 385.80

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Solution

The third proportional to 246.52 and 385.80 is: 603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.52 : 385.80 = 385.80 : x
  2. Step 2: Convert to fraction form
    246.52/385.80 = 385.80/x
  3. Step 3: Cross multiply
    246.52x = 385.80 × 385.80
  4. Step 4: Simplify right side
    246.52x = 148,845.26
  5. Step 5: Solve for x
    x = 148,845.26/246.52
  6. Step 6: Final answer
    x = 603.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.