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Finding the Third Proportional to 129,969 and 280,030

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Solution

The third proportional to 129,969 and 280,030 is: 603,350.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,969 : 280,030 = 280,030 : x
  2. Step 2: Convert to fraction form
    129,969/280,030 = 280,030/x
  3. Step 3: Cross multiply
    129,969x = 280,030 × 280,030
  4. Step 4: Simplify right side
    129,969x = 78,416,800,900
  5. Step 5: Solve for x
    x = 78,416,800,900/129,969
  6. Step 6: Final answer
    x = 603,350.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.