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Finding the Third Proportional to 102,052 and 223,796

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Solution

The third proportional to 102,052 and 223,796 is: 490,775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,052 : 223,796 = 223,796 : x
  2. Step 2: Convert to fraction form
    102,052/223,796 = 223,796/x
  3. Step 3: Cross multiply
    102,052x = 223,796 × 223,796
  4. Step 4: Simplify right side
    102,052x = 50,084,649,616
  5. Step 5: Solve for x
    x = 50,084,649,616/102,052
  6. Step 6: Final answer
    x = 490,775.78

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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.