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Finding the Third Proportional to 319,652 and 678,725

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Solution

The third proportional to 319,652 and 678,725 is: 1,441,153.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,652 : 678,725 = 678,725 : x
  2. Step 2: Convert to fraction form
    319,652/678,725 = 678,725/x
  3. Step 3: Cross multiply
    319,652x = 678,725 × 678,725
  4. Step 4: Simplify right side
    319,652x = 460,667,625,625
  5. Step 5: Solve for x
    x = 460,667,625,625/319,652
  6. Step 6: Final answer
    x = 1,441,153.58

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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.