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Finding the Third Proportional to 253.13 and 382.31

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Solution

The third proportional to 253.13 and 382.31 is: 577.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.13 : 382.31 = 382.31 : x
  2. Step 2: Convert to fraction form
    253.13/382.31 = 382.31/x
  3. Step 3: Cross multiply
    253.13x = 382.31 × 382.31
  4. Step 4: Simplify right side
    253.13x = 146,162.85
  5. Step 5: Solve for x
    x = 146,162.85/253.13
  6. Step 6: Final answer
    x = 577.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.