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Finding the Third Proportional to 253.97 and 345.09

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Solution

The third proportional to 253.97 and 345.09 is: 468.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.97 : 345.09 = 345.09 : x
  2. Step 2: Convert to fraction form
    253.97/345.09 = 345.09/x
  3. Step 3: Cross multiply
    253.97x = 345.09 × 345.09
  4. Step 4: Simplify right side
    253.97x = 119,089.70
  5. Step 5: Solve for x
    x = 119,089.70/253.97
  6. Step 6: Final answer
    x = 468.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.