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Finding the Third Proportional to 320,085 and 699,228

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Solution

The third proportional to 320,085 and 699,228 is: 1,527,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,085 : 699,228 = 699,228 : x
  2. Step 2: Convert to fraction form
    320,085/699,228 = 699,228/x
  3. Step 3: Cross multiply
    320,085x = 699,228 × 699,228
  4. Step 4: Simplify right side
    320,085x = 488,919,795,984
  5. Step 5: Solve for x
    x = 488,919,795,984/320,085
  6. Step 6: Final answer
    x = 1,527,468.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.