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Finding the Third Proportional to 203,946 and 448,671

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Solution

The third proportional to 203,946 and 448,671 is: 987,053.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,946 : 448,671 = 448,671 : x
  2. Step 2: Convert to fraction form
    203,946/448,671 = 448,671/x
  3. Step 3: Cross multiply
    203,946x = 448,671 × 448,671
  4. Step 4: Simplify right side
    203,946x = 201,305,666,241
  5. Step 5: Solve for x
    x = 201,305,666,241/203,946
  6. Step 6: Final answer
    x = 987,053.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.