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Finding the Third Proportional to 415.05 and 898.44

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Solution

The third proportional to 415.05 and 898.44 is: 1,944.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.05 : 898.44 = 898.44 : x
  2. Step 2: Convert to fraction form
    415.05/898.44 = 898.44/x
  3. Step 3: Cross multiply
    415.05x = 898.44 × 898.44
  4. Step 4: Simplify right side
    415.05x = 807,186.43
  5. Step 5: Solve for x
    x = 807,186.43/415.05
  6. Step 6: Final answer
    x = 1,944.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.