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Finding the Third Proportional to 243,144 and 505,616

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Solution

The third proportional to 243,144 and 505,616 is: 1,051,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,144 : 505,616 = 505,616 : x
  2. Step 2: Convert to fraction form
    243,144/505,616 = 505,616/x
  3. Step 3: Cross multiply
    243,144x = 505,616 × 505,616
  4. Step 4: Simplify right side
    243,144x = 255,647,539,456
  5. Step 5: Solve for x
    x = 255,647,539,456/243,144
  6. Step 6: Final answer
    x = 1,051,424.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.