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Finding the Third Proportional to 166.88 and 361.63

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Solution

The third proportional to 166.88 and 361.63 is: 783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.88 : 361.63 = 361.63 : x
  2. Step 2: Convert to fraction form
    166.88/361.63 = 361.63/x
  3. Step 3: Cross multiply
    166.88x = 361.63 × 361.63
  4. Step 4: Simplify right side
    166.88x = 130,772.64
  5. Step 5: Solve for x
    x = 130,772.64/166.88
  6. Step 6: Final answer
    x = 783.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.