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Finding the Third Proportional to 17,800 and 19,272

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Solution

The third proportional to 17,800 and 19,272 is: 20,865.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,800 : 19,272 = 19,272 : x
  2. Step 2: Convert to fraction form
    17,800/19,272 = 19,272/x
  3. Step 3: Cross multiply
    17,800x = 19,272 × 19,272
  4. Step 4: Simplify right side
    17,800x = 371,409,984
  5. Step 5: Solve for x
    x = 371,409,984/17,800
  6. Step 6: Final answer
    x = 20,865.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.