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Finding the Third Proportional to 196,109.63 and 428,183.50

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Solution

The third proportional to 196,109.63 and 428,183.50 is: 934,890.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,109.63 : 428,183.50 = 428,183.50 : x
  2. Step 2: Convert to fraction form
    196,109.63/428,183.50 = 428,183.50/x
  3. Step 3: Cross multiply
    196,109.63x = 428,183.50 × 428,183.50
  4. Step 4: Simplify right side
    196,109.63x = 183,341,109,672.25
  5. Step 5: Solve for x
    x = 183,341,109,672.25/196,109.63
  6. Step 6: Final answer
    x = 934,890.93

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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.