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Finding the Third Proportional to 285,012 and 400,809

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Solution

The third proportional to 285,012 and 400,809 is: 563,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,012 : 400,809 = 400,809 : x
  2. Step 2: Convert to fraction form
    285,012/400,809 = 400,809/x
  3. Step 3: Cross multiply
    285,012x = 400,809 × 400,809
  4. Step 4: Simplify right side
    285,012x = 160,647,854,481
  5. Step 5: Solve for x
    x = 160,647,854,481/285,012
  6. Step 6: Final answer
    x = 563,652.95

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.