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Finding the Third Proportional to 119.63 and 247.31

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Solution

The third proportional to 119.63 and 247.31 is: 511.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.63 : 247.31 = 247.31 : x
  2. Step 2: Convert to fraction form
    119.63/247.31 = 247.31/x
  3. Step 3: Cross multiply
    119.63x = 247.31 × 247.31
  4. Step 4: Simplify right side
    119.63x = 61,163.47
  5. Step 5: Solve for x
    x = 61,163.47/119.63
  6. Step 6: Final answer
    x = 511.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.