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Finding the Third Proportional to 168,207 and 280,330.50

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Solution

The third proportional to 168,207 and 280,330.50 is: 467,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,207 : 280,330.50 = 280,330.50 : x
  2. Step 2: Convert to fraction form
    168,207/280,330.50 = 280,330.50/x
  3. Step 3: Cross multiply
    168,207x = 280,330.50 × 280,330.50
  4. Step 4: Simplify right side
    168,207x = 78,585,189,230.25
  5. Step 5: Solve for x
    x = 78,585,189,230.25/168,207
  6. Step 6: Final answer
    x = 467,193.33

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.