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Finding the Third Proportional to 1,872.70 and 4,072.29

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Solution

The third proportional to 1,872.70 and 4,072.29 is: 8,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.70 : 4,072.29 = 4,072.29 : x
  2. Step 2: Convert to fraction form
    1,872.70/4,072.29 = 4,072.29/x
  3. Step 3: Cross multiply
    1,872.70x = 4,072.29 × 4,072.29
  4. Step 4: Simplify right side
    1,872.70x = 16,583,538.21
  5. Step 5: Solve for x
    x = 16,583,538.21/1,872.70
  6. Step 6: Final answer
    x = 8,855.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.