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Finding the Third Proportional to 223,382 and 481,756

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Solution

The third proportional to 223,382 and 481,756 is: 1,038,977.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,382 : 481,756 = 481,756 : x
  2. Step 2: Convert to fraction form
    223,382/481,756 = 481,756/x
  3. Step 3: Cross multiply
    223,382x = 481,756 × 481,756
  4. Step 4: Simplify right side
    223,382x = 232,088,843,536
  5. Step 5: Solve for x
    x = 232,088,843,536/223,382
  6. Step 6: Final answer
    x = 1,038,977.37

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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.