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Finding the Third Proportional to 13,998 and 20,817

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Solution

The third proportional to 13,998 and 20,817 is: 30,957.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998 : 20,817 = 20,817 : x
  2. Step 2: Convert to fraction form
    13,998/20,817 = 20,817/x
  3. Step 3: Cross multiply
    13,998x = 20,817 × 20,817
  4. Step 4: Simplify right side
    13,998x = 433,347,489
  5. Step 5: Solve for x
    x = 433,347,489/13,998
  6. Step 6: Final answer
    x = 30,957.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.