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Finding the Third Proportional to 285,192 and 398,740

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Solution

The third proportional to 285,192 and 398,740 is: 557,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,192 : 398,740 = 398,740 : x
  2. Step 2: Convert to fraction form
    285,192/398,740 = 398,740/x
  3. Step 3: Cross multiply
    285,192x = 398,740 × 398,740
  4. Step 4: Simplify right side
    285,192x = 158,993,587,600
  5. Step 5: Solve for x
    x = 158,993,587,600/285,192
  6. Step 6: Final answer
    x = 557,496.66

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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.