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Finding the Third Proportional to 203,484 and 446,324

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Solution

The third proportional to 203,484 and 446,324 is: 978,971.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,484 : 446,324 = 446,324 : x
  2. Step 2: Convert to fraction form
    203,484/446,324 = 446,324/x
  3. Step 3: Cross multiply
    203,484x = 446,324 × 446,324
  4. Step 4: Simplify right side
    203,484x = 199,205,112,976
  5. Step 5: Solve for x
    x = 199,205,112,976/203,484
  6. Step 6: Final answer
    x = 978,971.87

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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.