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Finding the Third Proportional to 62,640 and 131,838

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Solution

The third proportional to 62,640 and 131,838 is: 277,478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,640 : 131,838 = 131,838 : x
  2. Step 2: Convert to fraction form
    62,640/131,838 = 131,838/x
  3. Step 3: Cross multiply
    62,640x = 131,838 × 131,838
  4. Step 4: Simplify right side
    62,640x = 17,381,258,244
  5. Step 5: Solve for x
    x = 17,381,258,244/62,640
  6. Step 6: Final answer
    x = 277,478.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.