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Finding the Third Proportional to 310,936 and 674,360

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Solution

The third proportional to 310,936 and 674,360 is: 1,462,556.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,936 : 674,360 = 674,360 : x
  2. Step 2: Convert to fraction form
    310,936/674,360 = 674,360/x
  3. Step 3: Cross multiply
    310,936x = 674,360 × 674,360
  4. Step 4: Simplify right side
    310,936x = 454,761,409,600
  5. Step 5: Solve for x
    x = 454,761,409,600/310,936
  6. Step 6: Final answer
    x = 1,462,556.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.