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Finding the Third Proportional to 77,998 and 159,684

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Solution

The third proportional to 77,998 and 159,684 is: 326,918.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,998 : 159,684 = 159,684 : x
  2. Step 2: Convert to fraction form
    77,998/159,684 = 159,684/x
  3. Step 3: Cross multiply
    77,998x = 159,684 × 159,684
  4. Step 4: Simplify right side
    77,998x = 25,498,979,856
  5. Step 5: Solve for x
    x = 25,498,979,856/77,998
  6. Step 6: Final answer
    x = 326,918.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.