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Finding the Third Proportional to 28,577 and 43,689

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Solution

The third proportional to 28,577 and 43,689 is: 66,792.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,577 : 43,689 = 43,689 : x
  2. Step 2: Convert to fraction form
    28,577/43,689 = 43,689/x
  3. Step 3: Cross multiply
    28,577x = 43,689 × 43,689
  4. Step 4: Simplify right side
    28,577x = 1,908,728,721
  5. Step 5: Solve for x
    x = 1,908,728,721/28,577
  6. Step 6: Final answer
    x = 66,792.48

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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.