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Finding the Third Proportional to 196,182 and 303,709.50

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Solution

The third proportional to 196,182 and 303,709.50 is: 470,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,182 : 303,709.50 = 303,709.50 : x
  2. Step 2: Convert to fraction form
    196,182/303,709.50 = 303,709.50/x
  3. Step 3: Cross multiply
    196,182x = 303,709.50 × 303,709.50
  4. Step 4: Simplify right side
    196,182x = 92,239,460,390.25
  5. Step 5: Solve for x
    x = 92,239,460,390.25/196,182
  6. Step 6: Final answer
    x = 470,172.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.