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Finding the Third Proportional to 9,409 and 20,739

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Solution

The third proportional to 9,409 and 20,739 is: 45,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409 : 20,739 = 20,739 : x
  2. Step 2: Convert to fraction form
    9,409/20,739 = 20,739/x
  3. Step 3: Cross multiply
    9,409x = 20,739 × 20,739
  4. Step 4: Simplify right side
    9,409x = 430,106,121
  5. Step 5: Solve for x
    x = 430,106,121/9,409
  6. Step 6: Final answer
    x = 45,712.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.