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Finding the Third Proportional to 18,561 and 20,509.50

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Solution

The third proportional to 18,561 and 20,509.50 is: 22,662.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561 : 20,509.50 = 20,509.50 : x
  2. Step 2: Convert to fraction form
    18,561/20,509.50 = 20,509.50/x
  3. Step 3: Cross multiply
    18,561x = 20,509.50 × 20,509.50
  4. Step 4: Simplify right side
    18,561x = 420,639,590.25
  5. Step 5: Solve for x
    x = 420,639,590.25/18,561
  6. Step 6: Final answer
    x = 22,662.55

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.