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Finding the Third Proportional to 20,102.63 and 42,873.75

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Solution

The third proportional to 20,102.63 and 42,873.75 is: 91,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,102.63 : 42,873.75 = 42,873.75 : x
  2. Step 2: Convert to fraction form
    20,102.63/42,873.75 = 42,873.75/x
  3. Step 3: Cross multiply
    20,102.63x = 42,873.75 × 42,873.75
  4. Step 4: Simplify right side
    20,102.63x = 1,838,158,439.06
  5. Step 5: Solve for x
    x = 1,838,158,439.06/20,102.63
  6. Step 6: Final answer
    x = 91,438.73

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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.