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Finding the Third Proportional to 210,212 and 302,196

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Solution

The third proportional to 210,212 and 302,196 is: 434,430.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,212 : 302,196 = 302,196 : x
  2. Step 2: Convert to fraction form
    210,212/302,196 = 302,196/x
  3. Step 3: Cross multiply
    210,212x = 302,196 × 302,196
  4. Step 4: Simplify right side
    210,212x = 91,322,422,416
  5. Step 5: Solve for x
    x = 91,322,422,416/210,212
  6. Step 6: Final answer
    x = 434,430.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.