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Finding the Third Proportional to 15,121 and 23,456

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Solution

The third proportional to 15,121 and 23,456 is: 36,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,121 : 23,456 = 23,456 : x
  2. Step 2: Convert to fraction form
    15,121/23,456 = 23,456/x
  3. Step 3: Cross multiply
    15,121x = 23,456 × 23,456
  4. Step 4: Simplify right side
    15,121x = 550,183,936
  5. Step 5: Solve for x
    x = 550,183,936/15,121
  6. Step 6: Final answer
    x = 36,385.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.