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Finding the Third Proportional to 117.70 and 252.49

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Solution

The third proportional to 117.70 and 252.49 is: 541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.70 : 252.49 = 252.49 : x
  2. Step 2: Convert to fraction form
    117.70/252.49 = 252.49/x
  3. Step 3: Cross multiply
    117.70x = 252.49 × 252.49
  4. Step 4: Simplify right side
    117.70x = 63,752.30
  5. Step 5: Solve for x
    x = 63,752.30/117.70
  6. Step 6: Final answer
    x = 541.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.