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Finding the Third Proportional to 873.38 and 1,817.63

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Solution

The third proportional to 873.38 and 1,817.63 is: 3,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.38 : 1,817.63 = 1,817.63 : x
  2. Step 2: Convert to fraction form
    873.38/1,817.63 = 1,817.63/x
  3. Step 3: Cross multiply
    873.38x = 1,817.63 × 1,817.63
  4. Step 4: Simplify right side
    873.38x = 3,303,760.64
  5. Step 5: Solve for x
    x = 3,303,760.64/873.38
  6. Step 6: Final answer
    x = 3,782.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.