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Finding the Third Proportional to 129,491.75 and 283,000

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Solution

The third proportional to 129,491.75 and 283,000 is: 618,487.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,491.75 : 283,000 = 283,000 : x
  2. Step 2: Convert to fraction form
    129,491.75/283,000 = 283,000/x
  3. Step 3: Cross multiply
    129,491.75x = 283,000 × 283,000
  4. Step 4: Simplify right side
    129,491.75x = 80,089,000,000
  5. Step 5: Solve for x
    x = 80,089,000,000/129,491.75
  6. Step 6: Final answer
    x = 618,487.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.