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Finding the Third Proportional to 209,049 and 308,652

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Solution

The third proportional to 209,049 and 308,652 is: 455,711.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,049 : 308,652 = 308,652 : x
  2. Step 2: Convert to fraction form
    209,049/308,652 = 308,652/x
  3. Step 3: Cross multiply
    209,049x = 308,652 × 308,652
  4. Step 4: Simplify right side
    209,049x = 95,266,057,104
  5. Step 5: Solve for x
    x = 95,266,057,104/209,049
  6. Step 6: Final answer
    x = 455,711.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.