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Finding the Third Proportional to 444,882 and 968,100

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Solution

The third proportional to 444,882 and 968,100 is: 2,106,665.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,882 : 968,100 = 968,100 : x
  2. Step 2: Convert to fraction form
    444,882/968,100 = 968,100/x
  3. Step 3: Cross multiply
    444,882x = 968,100 × 968,100
  4. Step 4: Simplify right side
    444,882x = 937,217,610,000
  5. Step 5: Solve for x
    x = 937,217,610,000/444,882
  6. Step 6: Final answer
    x = 2,106,665.61

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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.