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Finding the Third Proportional to 208,608.25 and 428,275

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Solution

The third proportional to 208,608.25 and 428,275 is: 879,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,608.25 : 428,275 = 428,275 : x
  2. Step 2: Convert to fraction form
    208,608.25/428,275 = 428,275/x
  3. Step 3: Cross multiply
    208,608.25x = 428,275 × 428,275
  4. Step 4: Simplify right side
    208,608.25x = 183,419,475,625
  5. Step 5: Solve for x
    x = 183,419,475,625/208,608.25
  6. Step 6: Final answer
    x = 879,253.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.