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Finding the Third Proportional to 28,571 and 43,828

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Solution

The third proportional to 28,571 and 43,828 is: 67,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,571 : 43,828 = 43,828 : x
  2. Step 2: Convert to fraction form
    28,571/43,828 = 43,828/x
  3. Step 3: Cross multiply
    28,571x = 43,828 × 43,828
  4. Step 4: Simplify right side
    28,571x = 1,920,893,584
  5. Step 5: Solve for x
    x = 1,920,893,584/28,571
  6. Step 6: Final answer
    x = 67,232.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.