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Finding the Third Proportional to 20,898 and 30,563

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Solution

The third proportional to 20,898 and 30,563 is: 44,697.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,898 : 30,563 = 30,563 : x
  2. Step 2: Convert to fraction form
    20,898/30,563 = 30,563/x
  3. Step 3: Cross multiply
    20,898x = 30,563 × 30,563
  4. Step 4: Simplify right side
    20,898x = 934,096,969
  5. Step 5: Solve for x
    x = 934,096,969/20,898
  6. Step 6: Final answer
    x = 44,697.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.