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Finding the Third Proportional to 103,620 and 155,814

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Solution

The third proportional to 103,620 and 155,814 is: 234,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,620 : 155,814 = 155,814 : x
  2. Step 2: Convert to fraction form
    103,620/155,814 = 155,814/x
  3. Step 3: Cross multiply
    103,620x = 155,814 × 155,814
  4. Step 4: Simplify right side
    103,620x = 24,278,002,596
  5. Step 5: Solve for x
    x = 24,278,002,596/103,620
  6. Step 6: Final answer
    x = 234,298.42

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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.