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Finding the Third Proportional to 20,319 and 26,969

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Solution

The third proportional to 20,319 and 26,969 is: 35,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,319 : 26,969 = 26,969 : x
  2. Step 2: Convert to fraction form
    20,319/26,969 = 26,969/x
  3. Step 3: Cross multiply
    20,319x = 26,969 × 26,969
  4. Step 4: Simplify right side
    20,319x = 727,326,961
  5. Step 5: Solve for x
    x = 727,326,961/20,319
  6. Step 6: Final answer
    x = 35,795.41

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.