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Finding the Third Proportional to 20,646 and 30,104

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Solution

The third proportional to 20,646 and 30,104 is: 43,894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,646 : 30,104 = 30,104 : x
  2. Step 2: Convert to fraction form
    20,646/30,104 = 30,104/x
  3. Step 3: Cross multiply
    20,646x = 30,104 × 30,104
  4. Step 4: Simplify right side
    20,646x = 906,250,816
  5. Step 5: Solve for x
    x = 906,250,816/20,646
  6. Step 6: Final answer
    x = 43,894.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.