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Finding the Third Proportional to 285,300 and 441,523

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Solution

The third proportional to 285,300 and 441,523 is: 683,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,300 : 441,523 = 441,523 : x
  2. Step 2: Convert to fraction form
    285,300/441,523 = 441,523/x
  3. Step 3: Cross multiply
    285,300x = 441,523 × 441,523
  4. Step 4: Simplify right side
    285,300x = 194,942,559,529
  5. Step 5: Solve for x
    x = 194,942,559,529/285,300
  6. Step 6: Final answer
    x = 683,289.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.