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Finding the Third Proportional to 103,208 and 210,788

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Solution

The third proportional to 103,208 and 210,788 is: 430,505.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,208 : 210,788 = 210,788 : x
  2. Step 2: Convert to fraction form
    103,208/210,788 = 210,788/x
  3. Step 3: Cross multiply
    103,208x = 210,788 × 210,788
  4. Step 4: Simplify right side
    103,208x = 44,431,580,944
  5. Step 5: Solve for x
    x = 44,431,580,944/103,208
  6. Step 6: Final answer
    x = 430,505.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.