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Finding the Third Proportional to 45,728 and 68,713

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Solution

The third proportional to 45,728 and 68,713 is: 103,251.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,728 : 68,713 = 68,713 : x
  2. Step 2: Convert to fraction form
    45,728/68,713 = 68,713/x
  3. Step 3: Cross multiply
    45,728x = 68,713 × 68,713
  4. Step 4: Simplify right side
    45,728x = 4,721,476,369
  5. Step 5: Solve for x
    x = 4,721,476,369/45,728
  6. Step 6: Final answer
    x = 103,251.32

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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.