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Finding the Third Proportional to 77,769 and 163,838

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Solution

The third proportional to 77,769 and 163,838 is: 345,161.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769 : 163,838 = 163,838 : x
  2. Step 2: Convert to fraction form
    77,769/163,838 = 163,838/x
  3. Step 3: Cross multiply
    77,769x = 163,838 × 163,838
  4. Step 4: Simplify right side
    77,769x = 26,842,890,244
  5. Step 5: Solve for x
    x = 26,842,890,244/77,769
  6. Step 6: Final answer
    x = 345,161.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.