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Finding the Third Proportional to 29,640 and 62,616

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Solution

The third proportional to 29,640 and 62,616 is: 132,279.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,640 : 62,616 = 62,616 : x
  2. Step 2: Convert to fraction form
    29,640/62,616 = 62,616/x
  3. Step 3: Cross multiply
    29,640x = 62,616 × 62,616
  4. Step 4: Simplify right side
    29,640x = 3,920,763,456
  5. Step 5: Solve for x
    x = 3,920,763,456/29,640
  6. Step 6: Final answer
    x = 132,279.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.