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Finding the Third Proportional to 76,698 and 157,116

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Solution

The third proportional to 76,698 and 157,116 is: 321,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,698 : 157,116 = 157,116 : x
  2. Step 2: Convert to fraction form
    76,698/157,116 = 157,116/x
  3. Step 3: Cross multiply
    76,698x = 157,116 × 157,116
  4. Step 4: Simplify right side
    76,698x = 24,685,437,456
  5. Step 5: Solve for x
    x = 24,685,437,456/76,698
  6. Step 6: Final answer
    x = 321,852.43

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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.