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Finding the Third Proportional to 223,440 and 481,864

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Solution

The third proportional to 223,440 and 481,864 is: 1,039,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,440 : 481,864 = 481,864 : x
  2. Step 2: Convert to fraction form
    223,440/481,864 = 481,864/x
  3. Step 3: Cross multiply
    223,440x = 481,864 × 481,864
  4. Step 4: Simplify right side
    223,440x = 232,192,914,496
  5. Step 5: Solve for x
    x = 232,192,914,496/223,440
  6. Step 6: Final answer
    x = 1,039,173.44

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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.