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Finding the Third Proportional to 20,432 and 44,878

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Solution

The third proportional to 20,432 and 44,878 is: 98,572.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432 : 44,878 = 44,878 : x
  2. Step 2: Convert to fraction form
    20,432/44,878 = 44,878/x
  3. Step 3: Cross multiply
    20,432x = 44,878 × 44,878
  4. Step 4: Simplify right side
    20,432x = 2,014,034,884
  5. Step 5: Solve for x
    x = 2,014,034,884/20,432
  6. Step 6: Final answer
    x = 98,572.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.