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Finding the Third Proportional to 7,816 and 16,865

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Solution

The third proportional to 7,816 and 16,865 is: 36,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816 : 16,865 = 16,865 : x
  2. Step 2: Convert to fraction form
    7,816/16,865 = 16,865/x
  3. Step 3: Cross multiply
    7,816x = 16,865 × 16,865
  4. Step 4: Simplify right side
    7,816x = 284,428,225
  5. Step 5: Solve for x
    x = 284,428,225/7,816
  6. Step 6: Final answer
    x = 36,390.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.