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Finding the Third Proportional to 285,176 and 398,682

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Solution

The third proportional to 285,176 and 398,682 is: 557,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,176 : 398,682 = 398,682 : x
  2. Step 2: Convert to fraction form
    285,176/398,682 = 398,682/x
  3. Step 3: Cross multiply
    285,176x = 398,682 × 398,682
  4. Step 4: Simplify right side
    285,176x = 158,947,337,124
  5. Step 5: Solve for x
    x = 158,947,337,124/285,176
  6. Step 6: Final answer
    x = 557,365.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.