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Finding the Third Proportional to 19,230 and 28,399

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Solution

The third proportional to 19,230 and 28,399 is: 41,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,230 : 28,399 = 28,399 : x
  2. Step 2: Convert to fraction form
    19,230/28,399 = 28,399/x
  3. Step 3: Cross multiply
    19,230x = 28,399 × 28,399
  4. Step 4: Simplify right side
    19,230x = 806,503,201
  5. Step 5: Solve for x
    x = 806,503,201/19,230
  6. Step 6: Final answer
    x = 41,939.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.