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Finding the Third Proportional to 383,721 and 575,583

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Solution

The third proportional to 383,721 and 575,583 is: 863,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,721 : 575,583 = 575,583 : x
  2. Step 2: Convert to fraction form
    383,721/575,583 = 575,583/x
  3. Step 3: Cross multiply
    383,721x = 575,583 × 575,583
  4. Step 4: Simplify right side
    383,721x = 331,295,789,889
  5. Step 5: Solve for x
    x = 331,295,789,889/383,721
  6. Step 6: Final answer
    x = 863,376.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.