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Finding the Third Proportional to 62,880 and 136,857

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Solution

The third proportional to 62,880 and 136,857 is: 297,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,880 : 136,857 = 136,857 : x
  2. Step 2: Convert to fraction form
    62,880/136,857 = 136,857/x
  3. Step 3: Cross multiply
    62,880x = 136,857 × 136,857
  4. Step 4: Simplify right side
    62,880x = 18,729,838,449
  5. Step 5: Solve for x
    x = 18,729,838,449/62,880
  6. Step 6: Final answer
    x = 297,866.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.