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Finding the Third Proportional to 28,728 and 43,124

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Solution

The third proportional to 28,728 and 43,124 is: 64,734.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,728 : 43,124 = 43,124 : x
  2. Step 2: Convert to fraction form
    28,728/43,124 = 43,124/x
  3. Step 3: Cross multiply
    28,728x = 43,124 × 43,124
  4. Step 4: Simplify right side
    28,728x = 1,859,679,376
  5. Step 5: Solve for x
    x = 1,859,679,376/28,728
  6. Step 6: Final answer
    x = 64,734.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.