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Finding the Third Proportional to 68,124 and 105,728

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Solution

The third proportional to 68,124 and 105,728 is: 164,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,124 : 105,728 = 105,728 : x
  2. Step 2: Convert to fraction form
    68,124/105,728 = 105,728/x
  3. Step 3: Cross multiply
    68,124x = 105,728 × 105,728
  4. Step 4: Simplify right side
    68,124x = 11,178,409,984
  5. Step 5: Solve for x
    x = 11,178,409,984/68,124
  6. Step 6: Final answer
    x = 164,089.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.