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Finding the Third Proportional to 9,509 and 20,806

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Solution

The third proportional to 9,509 and 20,806 is: 45,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509 : 20,806 = 20,806 : x
  2. Step 2: Convert to fraction form
    9,509/20,806 = 20,806/x
  3. Step 3: Cross multiply
    9,509x = 20,806 × 20,806
  4. Step 4: Simplify right side
    9,509x = 432,889,636
  5. Step 5: Solve for x
    x = 432,889,636/9,509
  6. Step 6: Final answer
    x = 45,524.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.