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Finding the Third Proportional to 19,802 and 28,263

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Solution

The third proportional to 19,802 and 28,263 is: 40,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,802 : 28,263 = 28,263 : x
  2. Step 2: Convert to fraction form
    19,802/28,263 = 28,263/x
  3. Step 3: Cross multiply
    19,802x = 28,263 × 28,263
  4. Step 4: Simplify right side
    19,802x = 798,797,169
  5. Step 5: Solve for x
    x = 798,797,169/19,802
  6. Step 6: Final answer
    x = 40,339.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.