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Finding the Third Proportional to 138,206 and 303,196

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Solution

The third proportional to 138,206 and 303,196 is: 665,150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,206 : 303,196 = 303,196 : x
  2. Step 2: Convert to fraction form
    138,206/303,196 = 303,196/x
  3. Step 3: Cross multiply
    138,206x = 303,196 × 303,196
  4. Step 4: Simplify right side
    138,206x = 91,927,814,416
  5. Step 5: Solve for x
    x = 91,927,814,416/138,206
  6. Step 6: Final answer
    x = 665,150.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.