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Finding the Third Proportional to 199,769 and 438,904

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Solution

The third proportional to 199,769 and 438,904 is: 964,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,769 : 438,904 = 438,904 : x
  2. Step 2: Convert to fraction form
    199,769/438,904 = 438,904/x
  3. Step 3: Cross multiply
    199,769x = 438,904 × 438,904
  4. Step 4: Simplify right side
    199,769x = 192,636,721,216
  5. Step 5: Solve for x
    x = 192,636,721,216/199,769
  6. Step 6: Final answer
    x = 964,297.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.