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Finding the Third Proportional to 328,989 and 445,800

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Solution

The third proportional to 328,989 and 445,800 is: 604,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,989 : 445,800 = 445,800 : x
  2. Step 2: Convert to fraction form
    328,989/445,800 = 445,800/x
  3. Step 3: Cross multiply
    328,989x = 445,800 × 445,800
  4. Step 4: Simplify right side
    328,989x = 198,737,640,000
  5. Step 5: Solve for x
    x = 198,737,640,000/328,989
  6. Step 6: Final answer
    x = 604,085.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.