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Finding the Third Proportional to 117.91 and 183.45

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Solution

The third proportional to 117.91 and 183.45 is: 285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.91 : 183.45 = 183.45 : x
  2. Step 2: Convert to fraction form
    117.91/183.45 = 183.45/x
  3. Step 3: Cross multiply
    117.91x = 183.45 × 183.45
  4. Step 4: Simplify right side
    117.91x = 33,652.18
  5. Step 5: Solve for x
    x = 33,652.18/117.91
  6. Step 6: Final answer
    x = 285.40

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.