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Finding the Third Proportional to 20,316 and 30,474

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Solution

The third proportional to 20,316 and 30,474 is: 45,711

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,316 : 30,474 = 30,474 : x
  2. Step 2: Convert to fraction form
    20,316/30,474 = 30,474/x
  3. Step 3: Cross multiply
    20,316x = 30,474 × 30,474
  4. Step 4: Simplify right side
    20,316x = 928,664,676
  5. Step 5: Solve for x
    x = 928,664,676/20,316
  6. Step 6: Final answer
    x = 45,711

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.