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Finding the Third Proportional to 9,235 and 20,009

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Solution

The third proportional to 9,235 and 20,009 is: 43,352.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235 : 20,009 = 20,009 : x
  2. Step 2: Convert to fraction form
    9,235/20,009 = 20,009/x
  3. Step 3: Cross multiply
    9,235x = 20,009 × 20,009
  4. Step 4: Simplify right side
    9,235x = 400,360,081
  5. Step 5: Solve for x
    x = 400,360,081/9,235
  6. Step 6: Final answer
    x = 43,352.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.