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Finding the Third Proportional to 163,698 and 361,809

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Solution

The third proportional to 163,698 and 361,809 is: 799,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,698 : 361,809 = 361,809 : x
  2. Step 2: Convert to fraction form
    163,698/361,809 = 361,809/x
  3. Step 3: Cross multiply
    163,698x = 361,809 × 361,809
  4. Step 4: Simplify right side
    163,698x = 130,905,752,481
  5. Step 5: Solve for x
    x = 130,905,752,481/163,698
  6. Step 6: Final answer
    x = 799,678.39

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.