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Finding the Third Proportional to 117.47 and 254.15

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Solution

The third proportional to 117.47 and 254.15 is: 549.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.47 : 254.15 = 254.15 : x
  2. Step 2: Convert to fraction form
    117.47/254.15 = 254.15/x
  3. Step 3: Cross multiply
    117.47x = 254.15 × 254.15
  4. Step 4: Simplify right side
    117.47x = 64,593.91
  5. Step 5: Solve for x
    x = 64,593.91/117.47
  6. Step 6: Final answer
    x = 549.90

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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.