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Finding the Third Proportional to 225,651 and 491,771

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Solution

The third proportional to 225,651 and 491,771 is: 1,071,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,651 : 491,771 = 491,771 : x
  2. Step 2: Convert to fraction form
    225,651/491,771 = 491,771/x
  3. Step 3: Cross multiply
    225,651x = 491,771 × 491,771
  4. Step 4: Simplify right side
    225,651x = 241,838,716,441
  5. Step 5: Solve for x
    x = 241,838,716,441/225,651
  6. Step 6: Final answer
    x = 1,071,737.84

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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.