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Finding the Third Proportional to 190,471 and 284,774

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Solution

The third proportional to 190,471 and 284,774 is: 425,766.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,471 : 284,774 = 284,774 : x
  2. Step 2: Convert to fraction form
    190,471/284,774 = 284,774/x
  3. Step 3: Cross multiply
    190,471x = 284,774 × 284,774
  4. Step 4: Simplify right side
    190,471x = 81,096,231,076
  5. Step 5: Solve for x
    x = 81,096,231,076/190,471
  6. Step 6: Final answer
    x = 425,766.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.