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Finding the Third Proportional to 22,625 and 48,733

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Solution

The third proportional to 22,625 and 48,733 is: 104,968.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,625 : 48,733 = 48,733 : x
  2. Step 2: Convert to fraction form
    22,625/48,733 = 48,733/x
  3. Step 3: Cross multiply
    22,625x = 48,733 × 48,733
  4. Step 4: Simplify right side
    22,625x = 2,374,905,289
  5. Step 5: Solve for x
    x = 2,374,905,289/22,625
  6. Step 6: Final answer
    x = 104,968.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.