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Finding the Third Proportional to 103,283 and 218,867

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Solution

The third proportional to 103,283 and 218,867 is: 463,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,283 : 218,867 = 218,867 : x
  2. Step 2: Convert to fraction form
    103,283/218,867 = 218,867/x
  3. Step 3: Cross multiply
    103,283x = 218,867 × 218,867
  4. Step 4: Simplify right side
    103,283x = 47,902,763,689
  5. Step 5: Solve for x
    x = 47,902,763,689/103,283
  6. Step 6: Final answer
    x = 463,801.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.