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Finding the Third Proportional to 1,836.74 and 4,015.20

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Solution

The third proportional to 1,836.74 and 4,015.20 is: 8,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.74 : 4,015.20 = 4,015.20 : x
  2. Step 2: Convert to fraction form
    1,836.74/4,015.20 = 4,015.20/x
  3. Step 3: Cross multiply
    1,836.74x = 4,015.20 × 4,015.20
  4. Step 4: Simplify right side
    1,836.74x = 16,121,793.40
  5. Step 5: Solve for x
    x = 16,121,793.40/1,836.74
  6. Step 6: Final answer
    x = 8,777.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.