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Finding the Third Proportional to 20,106.67 and 39,708.35

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Solution

The third proportional to 20,106.67 and 39,708.35 is: 78,419.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,106.67 : 39,708.35 = 39,708.35 : x
  2. Step 2: Convert to fraction form
    20,106.67/39,708.35 = 39,708.35/x
  3. Step 3: Cross multiply
    20,106.67x = 39,708.35 × 39,708.35
  4. Step 4: Simplify right side
    20,106.67x = 1,576,753,183.81
  5. Step 5: Solve for x
    x = 1,576,753,183.81/20,106.67
  6. Step 6: Final answer
    x = 78,419.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.