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Finding the Third Proportional to 7,830 and 16,299

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Solution

The third proportional to 7,830 and 16,299 is: 33,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830 : 16,299 = 16,299 : x
  2. Step 2: Convert to fraction form
    7,830/16,299 = 16,299/x
  3. Step 3: Cross multiply
    7,830x = 16,299 × 16,299
  4. Step 4: Simplify right side
    7,830x = 265,657,401
  5. Step 5: Solve for x
    x = 265,657,401/7,830
  6. Step 6: Final answer
    x = 33,928.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.