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Finding the Third Proportional to 117.28 and 304.78

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Solution

The third proportional to 117.28 and 304.78 is: 792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.28 : 304.78 = 304.78 : x
  2. Step 2: Convert to fraction form
    117.28/304.78 = 304.78/x
  3. Step 3: Cross multiply
    117.28x = 304.78 × 304.78
  4. Step 4: Simplify right side
    117.28x = 92,891.61
  5. Step 5: Solve for x
    x = 92,891.61/117.28
  6. Step 6: Final answer
    x = 792.04

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.