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Finding the Third Proportional to 20,319 and 30,696

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Solution

The third proportional to 20,319 and 30,696 is: 46,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,319 : 30,696 = 30,696 : x
  2. Step 2: Convert to fraction form
    20,319/30,696 = 30,696/x
  3. Step 3: Cross multiply
    20,319x = 30,696 × 30,696
  4. Step 4: Simplify right side
    20,319x = 942,244,416
  5. Step 5: Solve for x
    x = 942,244,416/20,319
  6. Step 6: Final answer
    x = 46,372.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.