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Finding the Third Proportional to 284,870 and 422,913

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Solution

The third proportional to 284,870 and 422,913 is: 627,849.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,870 : 422,913 = 422,913 : x
  2. Step 2: Convert to fraction form
    284,870/422,913 = 422,913/x
  3. Step 3: Cross multiply
    284,870x = 422,913 × 422,913
  4. Step 4: Simplify right side
    284,870x = 178,855,405,569
  5. Step 5: Solve for x
    x = 178,855,405,569/284,870
  6. Step 6: Final answer
    x = 627,849.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.