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Finding the Third Proportional to 253.20 and 340.29

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Solution

The third proportional to 253.20 and 340.29 is: 457.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.20 : 340.29 = 340.29 : x
  2. Step 2: Convert to fraction form
    253.20/340.29 = 340.29/x
  3. Step 3: Cross multiply
    253.20x = 340.29 × 340.29
  4. Step 4: Simplify right side
    253.20x = 115,800.63
  5. Step 5: Solve for x
    x = 115,800.63/253.20
  6. Step 6: Final answer
    x = 457.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.