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Finding the Third Proportional to 45,408 and 67,728

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Solution

The third proportional to 45,408 and 67,728 is: 101,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,408 : 67,728 = 67,728 : x
  2. Step 2: Convert to fraction form
    45,408/67,728 = 67,728/x
  3. Step 3: Cross multiply
    45,408x = 67,728 × 67,728
  4. Step 4: Simplify right side
    45,408x = 4,587,081,984
  5. Step 5: Solve for x
    x = 4,587,081,984/45,408
  6. Step 6: Final answer
    x = 101,019.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.