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Finding the Third Proportional to 204,213 and 305,089

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Solution

The third proportional to 204,213 and 305,089 is: 455,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,213 : 305,089 = 305,089 : x
  2. Step 2: Convert to fraction form
    204,213/305,089 = 305,089/x
  3. Step 3: Cross multiply
    204,213x = 305,089 × 305,089
  4. Step 4: Simplify right side
    204,213x = 93,079,297,921
  5. Step 5: Solve for x
    x = 93,079,297,921/204,213
  6. Step 6: Final answer
    x = 455,795.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.