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Finding the Third Proportional to 203,888 and 447,136

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Solution

The third proportional to 203,888 and 447,136 is: 980,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,888 : 447,136 = 447,136 : x
  2. Step 2: Convert to fraction form
    203,888/447,136 = 447,136/x
  3. Step 3: Cross multiply
    203,888x = 447,136 × 447,136
  4. Step 4: Simplify right side
    203,888x = 199,930,602,496
  5. Step 5: Solve for x
    x = 199,930,602,496/203,888
  6. Step 6: Final answer
    x = 980,590.34

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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.