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Finding the Third Proportional to 85,617 and 136,728

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Solution

The third proportional to 85,617 and 136,728 is: 218,350.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,617 : 136,728 = 136,728 : x
  2. Step 2: Convert to fraction form
    85,617/136,728 = 136,728/x
  3. Step 3: Cross multiply
    85,617x = 136,728 × 136,728
  4. Step 4: Simplify right side
    85,617x = 18,694,545,984
  5. Step 5: Solve for x
    x = 18,694,545,984/85,617
  6. Step 6: Final answer
    x = 218,350.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.