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Finding the Third Proportional to 199,383 and 284,385

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Solution

The third proportional to 199,383 and 284,385 is: 405,625.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,383 : 284,385 = 284,385 : x
  2. Step 2: Convert to fraction form
    199,383/284,385 = 284,385/x
  3. Step 3: Cross multiply
    199,383x = 284,385 × 284,385
  4. Step 4: Simplify right side
    199,383x = 80,874,828,225
  5. Step 5: Solve for x
    x = 80,874,828,225/199,383
  6. Step 6: Final answer
    x = 405,625.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.