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Finding the Third Proportional to 20,145.38 and 38,512.13

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Solution

The third proportional to 20,145.38 and 38,512.13 is: 73,624.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,145.38 : 38,512.13 = 38,512.13 : x
  2. Step 2: Convert to fraction form
    20,145.38/38,512.13 = 38,512.13/x
  3. Step 3: Cross multiply
    20,145.38x = 38,512.13 × 38,512.13
  4. Step 4: Simplify right side
    20,145.38x = 1,483,183,772.02
  5. Step 5: Solve for x
    x = 1,483,183,772.02/20,145.38
  6. Step 6: Final answer
    x = 73,624.03

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.