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Finding the Third Proportional to 168,225 and 355,405

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Solution

The third proportional to 168,225 and 355,405 is: 750,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,225 : 355,405 = 355,405 : x
  2. Step 2: Convert to fraction form
    168,225/355,405 = 355,405/x
  3. Step 3: Cross multiply
    168,225x = 355,405 × 355,405
  4. Step 4: Simplify right side
    168,225x = 126,312,714,025
  5. Step 5: Solve for x
    x = 126,312,714,025/168,225
  6. Step 6: Final answer
    x = 750,855.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.