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Finding the Third Proportional to 3,894 and 7,855.50

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Solution

The third proportional to 3,894 and 7,855.50 is: 15,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894 : 7,855.50 = 7,855.50 : x
  2. Step 2: Convert to fraction form
    3,894/7,855.50 = 7,855.50/x
  3. Step 3: Cross multiply
    3,894x = 7,855.50 × 7,855.50
  4. Step 4: Simplify right side
    3,894x = 61,708,880.25
  5. Step 5: Solve for x
    x = 61,708,880.25/3,894
  6. Step 6: Final answer
    x = 15,847.17

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.