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Finding the Third Proportional to 51,448 and 105,968

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Solution

The third proportional to 51,448 and 105,968 is: 218,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,448 : 105,968 = 105,968 : x
  2. Step 2: Convert to fraction form
    51,448/105,968 = 105,968/x
  3. Step 3: Cross multiply
    51,448x = 105,968 × 105,968
  4. Step 4: Simplify right side
    51,448x = 11,229,217,024
  5. Step 5: Solve for x
    x = 11,229,217,024/51,448
  6. Step 6: Final answer
    x = 218,263.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.