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Finding the Third Proportional to 274,491 and 396,423

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Solution

The third proportional to 274,491 and 396,423 is: 572,518.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,491 : 396,423 = 396,423 : x
  2. Step 2: Convert to fraction form
    274,491/396,423 = 396,423/x
  3. Step 3: Cross multiply
    274,491x = 396,423 × 396,423
  4. Step 4: Simplify right side
    274,491x = 157,151,194,929
  5. Step 5: Solve for x
    x = 157,151,194,929/274,491
  6. Step 6: Final answer
    x = 572,518.57

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.