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Finding the Third Proportional to 444,883 and 968,102

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Solution

The third proportional to 444,883 and 968,102 is: 2,106,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,883 : 968,102 = 968,102 : x
  2. Step 2: Convert to fraction form
    444,883/968,102 = 968,102/x
  3. Step 3: Cross multiply
    444,883x = 968,102 × 968,102
  4. Step 4: Simplify right side
    444,883x = 937,221,482,404
  5. Step 5: Solve for x
    x = 937,221,482,404/444,883
  6. Step 6: Final answer
    x = 2,106,669.58

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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.