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Finding the Third Proportional to 289,010 and 383,583

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Solution

The third proportional to 289,010 and 383,583 is: 509,103.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,010 : 383,583 = 383,583 : x
  2. Step 2: Convert to fraction form
    289,010/383,583 = 383,583/x
  3. Step 3: Cross multiply
    289,010x = 383,583 × 383,583
  4. Step 4: Simplify right side
    289,010x = 147,135,917,889
  5. Step 5: Solve for x
    x = 147,135,917,889/289,010
  6. Step 6: Final answer
    x = 509,103.21

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.