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Finding the Third Proportional to 166 and 309.50

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Solution

The third proportional to 166 and 309.50 is: 577.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    166 : 309.50 = 309.50 : x
  2. Step 2: Convert to fraction form
    166/309.50 = 309.50/x
  3. Step 3: Cross multiply
    166x = 309.50 × 309.50
  4. Step 4: Simplify right side
    166x = 95,790.25
  5. Step 5: Solve for x
    x = 95,790.25/166
  6. Step 6: Final answer
    x = 577.05

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These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.