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Finding the Third Proportional to 103,623 and 155,819

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Solution

The third proportional to 103,623 and 155,819 is: 234,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,623 : 155,819 = 155,819 : x
  2. Step 2: Convert to fraction form
    103,623/155,819 = 155,819/x
  3. Step 3: Cross multiply
    103,623x = 155,819 × 155,819
  4. Step 4: Simplify right side
    103,623x = 24,279,560,761
  5. Step 5: Solve for x
    x = 24,279,560,761/103,623
  6. Step 6: Final answer
    x = 234,306.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.