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Finding the Third Proportional to 13,561 and 20,533

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Solution

The third proportional to 13,561 and 20,533 is: 31,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,561 : 20,533 = 20,533 : x
  2. Step 2: Convert to fraction form
    13,561/20,533 = 20,533/x
  3. Step 3: Cross multiply
    13,561x = 20,533 × 20,533
  4. Step 4: Simplify right side
    13,561x = 421,604,089
  5. Step 5: Solve for x
    x = 421,604,089/13,561
  6. Step 6: Final answer
    x = 31,089.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.