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Finding the Third Proportional to 289,612.50 and 629,049

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Solution

The third proportional to 289,612.50 and 629,049 is: 1,366,317.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,612.50 : 629,049 = 629,049 : x
  2. Step 2: Convert to fraction form
    289,612.50/629,049 = 629,049/x
  3. Step 3: Cross multiply
    289,612.50x = 629,049 × 629,049
  4. Step 4: Simplify right side
    289,612.50x = 395,702,644,401
  5. Step 5: Solve for x
    x = 395,702,644,401/289,612.50
  6. Step 6: Final answer
    x = 1,366,317.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.