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Finding the Third Proportional to 218,425 and 467,219

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Solution

The third proportional to 218,425 and 467,219 is: 999,398.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,425 : 467,219 = 467,219 : x
  2. Step 2: Convert to fraction form
    218,425/467,219 = 467,219/x
  3. Step 3: Cross multiply
    218,425x = 467,219 × 467,219
  4. Step 4: Simplify right side
    218,425x = 218,293,593,961
  5. Step 5: Solve for x
    x = 218,293,593,961/218,425
  6. Step 6: Final answer
    x = 999,398.39

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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.