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Finding the Third Proportional to 223,632 and 303,888

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Solution

The third proportional to 223,632 and 303,888 is: 412,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,632 : 303,888 = 303,888 : x
  2. Step 2: Convert to fraction form
    223,632/303,888 = 303,888/x
  3. Step 3: Cross multiply
    223,632x = 303,888 × 303,888
  4. Step 4: Simplify right side
    223,632x = 92,347,916,544
  5. Step 5: Solve for x
    x = 92,347,916,544/223,632
  6. Step 6: Final answer
    x = 412,945.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.