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Finding the Third Proportional to 253.63 and 333.13

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Solution

The third proportional to 253.63 and 333.13 is: 437.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.63 : 333.13 = 333.13 : x
  2. Step 2: Convert to fraction form
    253.63/333.13 = 333.13/x
  3. Step 3: Cross multiply
    253.63x = 333.13 × 333.13
  4. Step 4: Simplify right side
    253.63x = 110,972.27
  5. Step 5: Solve for x
    x = 110,972.27/253.63
  6. Step 6: Final answer
    x = 437.54

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.