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Finding the Third Proportional to 199,392 and 284,396

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Solution

The third proportional to 199,392 and 284,396 is: 405,638.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,392 : 284,396 = 284,396 : x
  2. Step 2: Convert to fraction form
    199,392/284,396 = 284,396/x
  3. Step 3: Cross multiply
    199,392x = 284,396 × 284,396
  4. Step 4: Simplify right side
    199,392x = 80,881,084,816
  5. Step 5: Solve for x
    x = 80,881,084,816/199,392
  6. Step 6: Final answer
    x = 405,638.57

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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.