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Finding the Third Proportional to 7,830 and 16,965

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Solution

The third proportional to 7,830 and 16,965 is: 36,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830 : 16,965 = 16,965 : x
  2. Step 2: Convert to fraction form
    7,830/16,965 = 16,965/x
  3. Step 3: Cross multiply
    7,830x = 16,965 × 16,965
  4. Step 4: Simplify right side
    7,830x = 287,811,225
  5. Step 5: Solve for x
    x = 287,811,225/7,830
  6. Step 6: Final answer
    x = 36,757.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.