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Finding the Third Proportional to 20,432 and 43,828

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Solution

The third proportional to 20,432 and 43,828 is: 94,013.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,432 : 43,828 = 43,828 : x
  2. Step 2: Convert to fraction form
    20,432/43,828 = 43,828/x
  3. Step 3: Cross multiply
    20,432x = 43,828 × 43,828
  4. Step 4: Simplify right side
    20,432x = 1,920,893,584
  5. Step 5: Solve for x
    x = 1,920,893,584/20,432
  6. Step 6: Final answer
    x = 94,013.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.