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Finding the Third Proportional to 285,172 and 398,676

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Solution

The third proportional to 285,172 and 398,676 is: 557,356.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,172 : 398,676 = 398,676 : x
  2. Step 2: Convert to fraction form
    285,172/398,676 = 398,676/x
  3. Step 3: Cross multiply
    285,172x = 398,676 × 398,676
  4. Step 4: Simplify right side
    285,172x = 158,942,552,976
  5. Step 5: Solve for x
    x = 158,942,552,976/285,172
  6. Step 6: Final answer
    x = 557,356.80

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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.