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Finding the Third Proportional to 196,110.25 and 428,184.75

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Solution

The third proportional to 196,110.25 and 428,184.75 is: 934,893.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,110.25 : 428,184.75 = 428,184.75 : x
  2. Step 2: Convert to fraction form
    196,110.25/428,184.75 = 428,184.75/x
  3. Step 3: Cross multiply
    196,110.25x = 428,184.75 × 428,184.75
  4. Step 4: Simplify right side
    196,110.25x = 183,342,180,132.56
  5. Step 5: Solve for x
    x = 183,342,180,132.56/196,110.25
  6. Step 6: Final answer
    x = 934,893.41

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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.