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Finding the Third Proportional to 10,299 and 21,330

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Solution

The third proportional to 10,299 and 21,330 is: 44,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299 : 21,330 = 21,330 : x
  2. Step 2: Convert to fraction form
    10,299/21,330 = 21,330/x
  3. Step 3: Cross multiply
    10,299x = 21,330 × 21,330
  4. Step 4: Simplify right side
    10,299x = 454,968,900
  5. Step 5: Solve for x
    x = 454,968,900/10,299
  6. Step 6: Final answer
    x = 44,176.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.