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Finding the Third Proportional to 166.64 and 359.86

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Solution

The third proportional to 166.64 and 359.86 is: 777.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.64 : 359.86 = 359.86 : x
  2. Step 2: Convert to fraction form
    166.64/359.86 = 359.86/x
  3. Step 3: Cross multiply
    166.64x = 359.86 × 359.86
  4. Step 4: Simplify right side
    166.64x = 129,498.77
  5. Step 5: Solve for x
    x = 129,498.77/166.64
  6. Step 6: Final answer
    x = 777.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.