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Finding the Third Proportional to 77,048 and 122,253

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Solution

The third proportional to 77,048 and 122,253 is: 193,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,048 : 122,253 = 122,253 : x
  2. Step 2: Convert to fraction form
    77,048/122,253 = 122,253/x
  3. Step 3: Cross multiply
    77,048x = 122,253 × 122,253
  4. Step 4: Simplify right side
    77,048x = 14,945,796,009
  5. Step 5: Solve for x
    x = 14,945,796,009/77,048
  6. Step 6: Final answer
    x = 193,980.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.