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Finding the Third Proportional to 80,424 and 122,788

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Solution

The third proportional to 80,424 and 122,788 is: 187,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,424 : 122,788 = 122,788 : x
  2. Step 2: Convert to fraction form
    80,424/122,788 = 122,788/x
  3. Step 3: Cross multiply
    80,424x = 122,788 × 122,788
  4. Step 4: Simplify right side
    80,424x = 15,076,892,944
  5. Step 5: Solve for x
    x = 15,076,892,944/80,424
  6. Step 6: Final answer
    x = 187,467.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.