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Finding the Third Proportional to 315,223 and 674,725

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Solution

The third proportional to 315,223 and 674,725 is: 1,444,227.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,223 : 674,725 = 674,725 : x
  2. Step 2: Convert to fraction form
    315,223/674,725 = 674,725/x
  3. Step 3: Cross multiply
    315,223x = 674,725 × 674,725
  4. Step 4: Simplify right side
    315,223x = 455,253,825,625
  5. Step 5: Solve for x
    x = 455,253,825,625/315,223
  6. Step 6: Final answer
    x = 1,444,227.82

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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.