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Finding the Third Proportional to 20,668.50 and 30,699

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Solution

The third proportional to 20,668.50 and 30,699 is: 45,597.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,668.50 : 30,699 = 30,699 : x
  2. Step 2: Convert to fraction form
    20,668.50/30,699 = 30,699/x
  3. Step 3: Cross multiply
    20,668.50x = 30,699 × 30,699
  4. Step 4: Simplify right side
    20,668.50x = 942,428,601
  5. Step 5: Solve for x
    x = 942,428,601/20,668.50
  6. Step 6: Final answer
    x = 45,597.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.