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Finding the Third Proportional to 8,999 and 19,219

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Solution

The third proportional to 8,999 and 19,219 is: 41,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,999 : 19,219 = 19,219 : x
  2. Step 2: Convert to fraction form
    8,999/19,219 = 19,219/x
  3. Step 3: Cross multiply
    8,999x = 19,219 × 19,219
  4. Step 4: Simplify right side
    8,999x = 369,369,961
  5. Step 5: Solve for x
    x = 369,369,961/8,999
  6. Step 6: Final answer
    x = 41,045.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.