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Finding the Third Proportional to 20,299 and 31,219

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Solution

The third proportional to 20,299 and 31,219 is: 48,013.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,299 : 31,219 = 31,219 : x
  2. Step 2: Convert to fraction form
    20,299/31,219 = 31,219/x
  3. Step 3: Cross multiply
    20,299x = 31,219 × 31,219
  4. Step 4: Simplify right side
    20,299x = 974,625,961
  5. Step 5: Solve for x
    x = 974,625,961/20,299
  6. Step 6: Final answer
    x = 48,013.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.