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Finding the Third Proportional to 223,844 and 483,136.50

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Solution

The third proportional to 223,844 and 483,136.50 is: 1,042,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,844 : 483,136.50 = 483,136.50 : x
  2. Step 2: Convert to fraction form
    223,844/483,136.50 = 483,136.50/x
  3. Step 3: Cross multiply
    223,844x = 483,136.50 × 483,136.50
  4. Step 4: Simplify right side
    223,844x = 233,420,877,632.25
  5. Step 5: Solve for x
    x = 233,420,877,632.25/223,844
  6. Step 6: Final answer
    x = 1,042,783.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.