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Finding the Third Proportional to 117.75 and 157.31

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Solution

The third proportional to 117.75 and 157.31 is: 210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.75 : 157.31 = 157.31 : x
  2. Step 2: Convert to fraction form
    117.75/157.31 = 157.31/x
  3. Step 3: Cross multiply
    117.75x = 157.31 × 157.31
  4. Step 4: Simplify right side
    117.75x = 24,747.22
  5. Step 5: Solve for x
    x = 24,747.22/117.75
  6. Step 6: Final answer
    x = 210.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.