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Finding the Third Proportional to 9,739.75 and 20,693

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Solution

The third proportional to 9,739.75 and 20,693 is: 43,964.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.75 : 20,693 = 20,693 : x
  2. Step 2: Convert to fraction form
    9,739.75/20,693 = 20,693/x
  3. Step 3: Cross multiply
    9,739.75x = 20,693 × 20,693
  4. Step 4: Simplify right side
    9,739.75x = 428,200,249
  5. Step 5: Solve for x
    x = 428,200,249/9,739.75
  6. Step 6: Final answer
    x = 43,964.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.