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Finding the Third Proportional to 65,403 and 136,728

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Solution

The third proportional to 65,403 and 136,728 is: 285,836.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,403 : 136,728 = 136,728 : x
  2. Step 2: Convert to fraction form
    65,403/136,728 = 136,728/x
  3. Step 3: Cross multiply
    65,403x = 136,728 × 136,728
  4. Step 4: Simplify right side
    65,403x = 18,694,545,984
  5. Step 5: Solve for x
    x = 18,694,545,984/65,403
  6. Step 6: Final answer
    x = 285,836.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.