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Finding the Third Proportional to 188 and 309

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Solution

The third proportional to 188 and 309 is: 507.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    188 : 309 = 309 : x
  2. Step 2: Convert to fraction form
    188/309 = 309/x
  3. Step 3: Cross multiply
    188x = 309 × 309
  4. Step 4: Simplify right side
    188x = 95,481
  5. Step 5: Solve for x
    x = 95,481/188
  6. Step 6: Final answer
    x = 507.88

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.