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Finding the Third Proportional to 28,728 and 45,684

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Solution

The third proportional to 28,728 and 45,684 is: 72,647.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,728 : 45,684 = 45,684 : x
  2. Step 2: Convert to fraction form
    28,728/45,684 = 45,684/x
  3. Step 3: Cross multiply
    28,728x = 45,684 × 45,684
  4. Step 4: Simplify right side
    28,728x = 2,087,027,856
  5. Step 5: Solve for x
    x = 2,087,027,856/28,728
  6. Step 6: Final answer
    x = 72,647.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.