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Finding the Third Proportional to 383,619 and 574,276.50

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Solution

The third proportional to 383,619 and 574,276.50 is: 859,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,619 : 574,276.50 = 574,276.50 : x
  2. Step 2: Convert to fraction form
    383,619/574,276.50 = 574,276.50/x
  3. Step 3: Cross multiply
    383,619x = 574,276.50 × 574,276.50
  4. Step 4: Simplify right side
    383,619x = 329,793,498,452.25
  5. Step 5: Solve for x
    x = 329,793,498,452.25/383,619
  6. Step 6: Final answer
    x = 859,690.21

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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.