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Finding the Third Proportional to 309 and 474

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Solution

The third proportional to 309 and 474 is: 727.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309 : 474 = 474 : x
  2. Step 2: Convert to fraction form
    309/474 = 474/x
  3. Step 3: Cross multiply
    309x = 474 × 474
  4. Step 4: Simplify right side
    309x = 224,676
  5. Step 5: Solve for x
    x = 224,676/309
  6. Step 6: Final answer
    x = 727.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.