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Finding the Third Proportional to 210,696 and 450,918

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Solution

The third proportional to 210,696 and 450,918 is: 965,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,696 : 450,918 = 450,918 : x
  2. Step 2: Convert to fraction form
    210,696/450,918 = 450,918/x
  3. Step 3: Cross multiply
    210,696x = 450,918 × 450,918
  4. Step 4: Simplify right side
    210,696x = 203,327,042,724
  5. Step 5: Solve for x
    x = 203,327,042,724/210,696
  6. Step 6: Final answer
    x = 965,025.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.