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Finding the Third Proportional to 28,146 and 43,635

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Solution

The third proportional to 28,146 and 43,635 is: 67,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,146 : 43,635 = 43,635 : x
  2. Step 2: Convert to fraction form
    28,146/43,635 = 43,635/x
  3. Step 3: Cross multiply
    28,146x = 43,635 × 43,635
  4. Step 4: Simplify right side
    28,146x = 1,904,013,225
  5. Step 5: Solve for x
    x = 1,904,013,225/28,146
  6. Step 6: Final answer
    x = 67,647.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.