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Finding the Third Proportional to 401,922 and 545,823

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Solution

The third proportional to 401,922 and 545,823 is: 741,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,922 : 545,823 = 545,823 : x
  2. Step 2: Convert to fraction form
    401,922/545,823 = 545,823/x
  3. Step 3: Cross multiply
    401,922x = 545,823 × 545,823
  4. Step 4: Simplify right side
    401,922x = 297,922,747,329
  5. Step 5: Solve for x
    x = 297,922,747,329/401,922
  6. Step 6: Final answer
    x = 741,245.19

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.