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Finding the Third Proportional to 117 and 213.75

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Solution

The third proportional to 117 and 213.75 is: 390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 213.75 = 213.75 : x
  2. Step 2: Convert to fraction form
    117/213.75 = 213.75/x
  3. Step 3: Cross multiply
    117x = 213.75 × 213.75
  4. Step 4: Simplify right side
    117x = 45,689.06
  5. Step 5: Solve for x
    x = 45,689.06/117
  6. Step 6: Final answer
    x = 390.50

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.