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Finding the Third Proportional to 206,811 and 302,006.25

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Solution

The third proportional to 206,811 and 302,006.25 is: 441,019.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,811 : 302,006.25 = 302,006.25 : x
  2. Step 2: Convert to fraction form
    206,811/302,006.25 = 302,006.25/x
  3. Step 3: Cross multiply
    206,811x = 302,006.25 × 302,006.25
  4. Step 4: Simplify right side
    206,811x = 91,207,775,039.06
  5. Step 5: Solve for x
    x = 91,207,775,039.06/206,811
  6. Step 6: Final answer
    x = 441,019.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.