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Finding the Third Proportional to 117.39 and 156.78

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Solution

The third proportional to 117.39 and 156.78 is: 209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.39 : 156.78 = 156.78 : x
  2. Step 2: Convert to fraction form
    117.39/156.78 = 156.78/x
  3. Step 3: Cross multiply
    117.39x = 156.78 × 156.78
  4. Step 4: Simplify right side
    117.39x = 24,579.75
  5. Step 5: Solve for x
    x = 24,579.75/117.39
  6. Step 6: Final answer
    x = 209.39

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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.