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Finding the Third Proportional to 285,976 and 609,951

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Solution

The third proportional to 285,976 and 609,951 is: 1,300,949.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,976 : 609,951 = 609,951 : x
  2. Step 2: Convert to fraction form
    285,976/609,951 = 609,951/x
  3. Step 3: Cross multiply
    285,976x = 609,951 × 609,951
  4. Step 4: Simplify right side
    285,976x = 372,040,222,401
  5. Step 5: Solve for x
    x = 372,040,222,401/285,976
  6. Step 6: Final answer
    x = 1,300,949.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.