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Finding the Third Proportional to 285,282 and 398,822

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Solution

The third proportional to 285,282 and 398,822 is: 557,550.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,282 : 398,822 = 398,822 : x
  2. Step 2: Convert to fraction form
    285,282/398,822 = 398,822/x
  3. Step 3: Cross multiply
    285,282x = 398,822 × 398,822
  4. Step 4: Simplify right side
    285,282x = 159,058,987,684
  5. Step 5: Solve for x
    x = 159,058,987,684/285,282
  6. Step 6: Final answer
    x = 557,550.03

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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.