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Finding the Third Proportional to 319,985 and 685,512

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Solution

The third proportional to 319,985 and 685,512 is: 1,468,589.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,985 : 685,512 = 685,512 : x
  2. Step 2: Convert to fraction form
    319,985/685,512 = 685,512/x
  3. Step 3: Cross multiply
    319,985x = 685,512 × 685,512
  4. Step 4: Simplify right side
    319,985x = 469,926,702,144
  5. Step 5: Solve for x
    x = 469,926,702,144/319,985
  6. Step 6: Final answer
    x = 1,468,589.78

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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.