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Finding the Third Proportional to 246.63 and 387.63

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Solution

The third proportional to 246.63 and 387.63 is: 609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.63 : 387.63 = 387.63 : x
  2. Step 2: Convert to fraction form
    246.63/387.63 = 387.63/x
  3. Step 3: Cross multiply
    246.63x = 387.63 × 387.63
  4. Step 4: Simplify right side
    246.63x = 150,253.14
  5. Step 5: Solve for x
    x = 150,253.14/246.63
  6. Step 6: Final answer
    x = 609.24

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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.