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Finding the Third Proportional to 284,880 and 422,928

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Solution

The third proportional to 284,880 and 422,928 is: 627,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,880 : 422,928 = 422,928 : x
  2. Step 2: Convert to fraction form
    284,880/422,928 = 422,928/x
  3. Step 3: Cross multiply
    284,880x = 422,928 × 422,928
  4. Step 4: Simplify right side
    284,880x = 178,868,093,184
  5. Step 5: Solve for x
    x = 178,868,093,184/284,880
  6. Step 6: Final answer
    x = 627,871.71

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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.