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Finding the Third Proportional to 223,400 and 481,783

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Solution

The third proportional to 223,400 and 481,783 is: 1,039,010.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,400 : 481,783 = 481,783 : x
  2. Step 2: Convert to fraction form
    223,400/481,783 = 481,783/x
  3. Step 3: Cross multiply
    223,400x = 481,783 × 481,783
  4. Step 4: Simplify right side
    223,400x = 232,114,859,089
  5. Step 5: Solve for x
    x = 232,114,859,089/223,400
  6. Step 6: Final answer
    x = 1,039,010.11

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Why These Related Problems?

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