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Finding the Third Proportional to 1,849.08 and 4,056.01

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Solution

The third proportional to 1,849.08 and 4,056.01 is: 8,896.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.08 : 4,056.01 = 4,056.01 : x
  2. Step 2: Convert to fraction form
    1,849.08/4,056.01 = 4,056.01/x
  3. Step 3: Cross multiply
    1,849.08x = 4,056.01 × 4,056.01
  4. Step 4: Simplify right side
    1,849.08x = 16,451,231.06
  5. Step 5: Solve for x
    x = 16,451,231.06/1,849.08
  6. Step 6: Final answer
    x = 8,896.99

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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.