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Finding the Third Proportional to 20,451.75 and 42,210.75

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Solution

The third proportional to 20,451.75 and 42,210.75 is: 87,119.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,451.75 : 42,210.75 = 42,210.75 : x
  2. Step 2: Convert to fraction form
    20,451.75/42,210.75 = 42,210.75/x
  3. Step 3: Cross multiply
    20,451.75x = 42,210.75 × 42,210.75
  4. Step 4: Simplify right side
    20,451.75x = 1,781,747,415.56
  5. Step 5: Solve for x
    x = 1,781,747,415.56/20,451.75
  6. Step 6: Final answer
    x = 87,119.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.