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Finding the Third Proportional to 117.56 and 129.94

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Solution

The third proportional to 117.56 and 129.94 is: 143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.56 : 129.94 = 129.94 : x
  2. Step 2: Convert to fraction form
    117.56/129.94 = 129.94/x
  3. Step 3: Cross multiply
    117.56x = 129.94 × 129.94
  4. Step 4: Simplify right side
    117.56x = 16,883.75
  5. Step 5: Solve for x
    x = 16,883.75/117.56
  6. Step 6: Final answer
    x = 143.62

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.