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Finding the Third Proportional to 20,398.50 and 42,207.75

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Solution

The third proportional to 20,398.50 and 42,207.75 is: 87,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,398.50 : 42,207.75 = 42,207.75 : x
  2. Step 2: Convert to fraction form
    20,398.50/42,207.75 = 42,207.75/x
  3. Step 3: Cross multiply
    20,398.50x = 42,207.75 × 42,207.75
  4. Step 4: Simplify right side
    20,398.50x = 1,781,494,160.06
  5. Step 5: Solve for x
    x = 1,781,494,160.06/20,398.50
  6. Step 6: Final answer
    x = 87,334.57

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.