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Finding the Third Proportional to 7,772 and 12,036

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Solution

The third proportional to 7,772 and 12,036 is: 18,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772 : 12,036 = 12,036 : x
  2. Step 2: Convert to fraction form
    7,772/12,036 = 12,036/x
  3. Step 3: Cross multiply
    7,772x = 12,036 × 12,036
  4. Step 4: Simplify right side
    7,772x = 144,865,296
  5. Step 5: Solve for x
    x = 144,865,296/7,772
  6. Step 6: Final answer
    x = 18,639.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.