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Finding the Third Proportional to 103,631 and 122,768

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Solution

The third proportional to 103,631 and 122,768 is: 145,438.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,631 : 122,768 = 122,768 : x
  2. Step 2: Convert to fraction form
    103,631/122,768 = 122,768/x
  3. Step 3: Cross multiply
    103,631x = 122,768 × 122,768
  4. Step 4: Simplify right side
    103,631x = 15,071,981,824
  5. Step 5: Solve for x
    x = 15,071,981,824/103,631
  6. Step 6: Final answer
    x = 145,438.93

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.