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Finding the Third Proportional to 285,280 and 398,809

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Solution

The third proportional to 285,280 and 398,809 is: 557,517.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,280 : 398,809 = 398,809 : x
  2. Step 2: Convert to fraction form
    285,280/398,809 = 398,809/x
  3. Step 3: Cross multiply
    285,280x = 398,809 × 398,809
  4. Step 4: Simplify right side
    285,280x = 159,048,618,481
  5. Step 5: Solve for x
    x = 159,048,618,481/285,280
  6. Step 6: Final answer
    x = 557,517.59

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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.