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Finding the Third Proportional to 415.44 and 873.60

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Solution

The third proportional to 415.44 and 873.60 is: 1,837.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.44 : 873.60 = 873.60 : x
  2. Step 2: Convert to fraction form
    415.44/873.60 = 873.60/x
  3. Step 3: Cross multiply
    415.44x = 873.60 × 873.60
  4. Step 4: Simplify right side
    415.44x = 763,172.87
  5. Step 5: Solve for x
    x = 763,172.87/415.44
  6. Step 6: Final answer
    x = 1,837.02

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.