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Finding the Third Proportional to 251.93 and 340.56

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Solution

The third proportional to 251.93 and 340.56 is: 460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.93 : 340.56 = 340.56 : x
  2. Step 2: Convert to fraction form
    251.93/340.56 = 340.56/x
  3. Step 3: Cross multiply
    251.93x = 340.56 × 340.56
  4. Step 4: Simplify right side
    251.93x = 115,980.16
  5. Step 5: Solve for x
    x = 115,980.16/251.93
  6. Step 6: Final answer
    x = 460.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.