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Finding the Third Proportional to 21,078 and 28,285

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Solution

The third proportional to 21,078 and 28,285 is: 37,956.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078 : 28,285 = 28,285 : x
  2. Step 2: Convert to fraction form
    21,078/28,285 = 28,285/x
  3. Step 3: Cross multiply
    21,078x = 28,285 × 28,285
  4. Step 4: Simplify right side
    21,078x = 800,041,225
  5. Step 5: Solve for x
    x = 800,041,225/21,078
  6. Step 6: Final answer
    x = 37,956.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.