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Finding the Third Proportional to 199,395 and 284,403

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Solution

The third proportional to 199,395 and 284,403 is: 405,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,395 : 284,403 = 284,403 : x
  2. Step 2: Convert to fraction form
    199,395/284,403 = 284,403/x
  3. Step 3: Cross multiply
    199,395x = 284,403 × 284,403
  4. Step 4: Simplify right side
    199,395x = 80,885,066,409
  5. Step 5: Solve for x
    x = 80,885,066,409/199,395
  6. Step 6: Final answer
    x = 405,652.43

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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.