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Finding the Third Proportional to 77,752 and 122,234

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Solution

The third proportional to 77,752 and 122,234 is: 192,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,752 : 122,234 = 122,234 : x
  2. Step 2: Convert to fraction form
    77,752/122,234 = 122,234/x
  3. Step 3: Cross multiply
    77,752x = 122,234 × 122,234
  4. Step 4: Simplify right side
    77,752x = 14,941,150,756
  5. Step 5: Solve for x
    x = 14,941,150,756/77,752
  6. Step 6: Final answer
    x = 192,164.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.