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Finding the Third Proportional to 219,067 and 478,684

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Solution

The third proportional to 219,067 and 478,684 is: 1,045,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,067 : 478,684 = 478,684 : x
  2. Step 2: Convert to fraction form
    219,067/478,684 = 478,684/x
  3. Step 3: Cross multiply
    219,067x = 478,684 × 478,684
  4. Step 4: Simplify right side
    219,067x = 229,138,371,856
  5. Step 5: Solve for x
    x = 229,138,371,856/219,067
  6. Step 6: Final answer
    x = 1,045,973.93

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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.