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Finding the Third Proportional to 12,640 and 29,824

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Solution

The third proportional to 12,640 and 29,824 is: 70,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,640 : 29,824 = 29,824 : x
  2. Step 2: Convert to fraction form
    12,640/29,824 = 29,824/x
  3. Step 3: Cross multiply
    12,640x = 29,824 × 29,824
  4. Step 4: Simplify right side
    12,640x = 889,470,976
  5. Step 5: Solve for x
    x = 889,470,976/12,640
  6. Step 6: Final answer
    x = 70,369.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.