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Finding the Third Proportional to 20,121 and 42,840.75

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Solution

The third proportional to 20,121 and 42,840.75 is: 91,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,121 : 42,840.75 = 42,840.75 : x
  2. Step 2: Convert to fraction form
    20,121/42,840.75 = 42,840.75/x
  3. Step 3: Cross multiply
    20,121x = 42,840.75 × 42,840.75
  4. Step 4: Simplify right side
    20,121x = 1,835,329,860.56
  5. Step 5: Solve for x
    x = 1,835,329,860.56/20,121
  6. Step 6: Final answer
    x = 91,214.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.