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Finding the Third Proportional to 117.44 and 253.72

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Solution

The third proportional to 117.44 and 253.72 is: 548.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.44 : 253.72 = 253.72 : x
  2. Step 2: Convert to fraction form
    117.44/253.72 = 253.72/x
  3. Step 3: Cross multiply
    117.44x = 253.72 × 253.72
  4. Step 4: Simplify right side
    117.44x = 64,373.20
  5. Step 5: Solve for x
    x = 64,373.20/117.44
  6. Step 6: Final answer
    x = 548.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.