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Finding the Third Proportional to 279,126 and 398,682

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Solution

The third proportional to 279,126 and 398,682 is: 569,446.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,126 : 398,682 = 398,682 : x
  2. Step 2: Convert to fraction form
    279,126/398,682 = 398,682/x
  3. Step 3: Cross multiply
    279,126x = 398,682 × 398,682
  4. Step 4: Simplify right side
    279,126x = 158,947,337,124
  5. Step 5: Solve for x
    x = 158,947,337,124/279,126
  6. Step 6: Final answer
    x = 569,446.55

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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.