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Finding the Third Proportional to 196,501.50 and 296,406

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Solution

The third proportional to 196,501.50 and 296,406 is: 447,103.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,501.50 : 296,406 = 296,406 : x
  2. Step 2: Convert to fraction form
    196,501.50/296,406 = 296,406/x
  3. Step 3: Cross multiply
    196,501.50x = 296,406 × 296,406
  4. Step 4: Simplify right side
    196,501.50x = 87,856,516,836
  5. Step 5: Solve for x
    x = 87,856,516,836/196,501.50
  6. Step 6: Final answer
    x = 447,103.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.