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Finding the Third Proportional to 8,368 and 12,965

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Solution

The third proportional to 8,368 and 12,965 is: 20,087.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368 : 12,965 = 12,965 : x
  2. Step 2: Convert to fraction form
    8,368/12,965 = 12,965/x
  3. Step 3: Cross multiply
    8,368x = 12,965 × 12,965
  4. Step 4: Simplify right side
    8,368x = 168,091,225
  5. Step 5: Solve for x
    x = 168,091,225/8,368
  6. Step 6: Final answer
    x = 20,087.38

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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.