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Finding the Third Proportional to 9,000 and 21,021

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Solution

The third proportional to 9,000 and 21,021 is: 49,098.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000 : 21,021 = 21,021 : x
  2. Step 2: Convert to fraction form
    9,000/21,021 = 21,021/x
  3. Step 3: Cross multiply
    9,000x = 21,021 × 21,021
  4. Step 4: Simplify right side
    9,000x = 441,882,441
  5. Step 5: Solve for x
    x = 441,882,441/9,000
  6. Step 6: Final answer
    x = 49,098.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.