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Finding the Third Proportional to 18,851 and 28,319

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Solution

The third proportional to 18,851 and 28,319 is: 42,542.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,851 : 28,319 = 28,319 : x
  2. Step 2: Convert to fraction form
    18,851/28,319 = 28,319/x
  3. Step 3: Cross multiply
    18,851x = 28,319 × 28,319
  4. Step 4: Simplify right side
    18,851x = 801,965,761
  5. Step 5: Solve for x
    x = 801,965,761/18,851
  6. Step 6: Final answer
    x = 42,542.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.