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Finding the Third Proportional to 448,823 and 982,102

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Solution

The third proportional to 448,823 and 982,102 is: 2,149,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,823 : 982,102 = 982,102 : x
  2. Step 2: Convert to fraction form
    448,823/982,102 = 982,102/x
  3. Step 3: Cross multiply
    448,823x = 982,102 × 982,102
  4. Step 4: Simplify right side
    448,823x = 964,524,338,404
  5. Step 5: Solve for x
    x = 964,524,338,404/448,823
  6. Step 6: Final answer
    x = 2,149,008.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.