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Finding the Third Proportional to 219,864 and 481,808

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Solution

The third proportional to 219,864 and 481,808 is: 1,055,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,864 : 481,808 = 481,808 : x
  2. Step 2: Convert to fraction form
    219,864/481,808 = 481,808/x
  3. Step 3: Cross multiply
    219,864x = 481,808 × 481,808
  4. Step 4: Simplify right side
    219,864x = 232,138,948,864
  5. Step 5: Solve for x
    x = 232,138,948,864/219,864
  6. Step 6: Final answer
    x = 1,055,829.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.