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Finding the Third Proportional to 196,440.75 and 428,861.25

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Solution

The third proportional to 196,440.75 and 428,861.25 is: 936,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,440.75 : 428,861.25 = 428,861.25 : x
  2. Step 2: Convert to fraction form
    196,440.75/428,861.25 = 428,861.25/x
  3. Step 3: Cross multiply
    196,440.75x = 428,861.25 × 428,861.25
  4. Step 4: Simplify right side
    196,440.75x = 183,921,971,751.56
  5. Step 5: Solve for x
    x = 183,921,971,751.56/196,440.75
  6. Step 6: Final answer
    x = 936,271.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.