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Finding the Third Proportional to 285,399 and 419,823

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Solution

The third proportional to 285,399 and 419,823 is: 617,561.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,399 : 419,823 = 419,823 : x
  2. Step 2: Convert to fraction form
    285,399/419,823 = 419,823/x
  3. Step 3: Cross multiply
    285,399x = 419,823 × 419,823
  4. Step 4: Simplify right side
    285,399x = 176,251,351,329
  5. Step 5: Solve for x
    x = 176,251,351,329/285,399
  6. Step 6: Final answer
    x = 617,561.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.