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Finding the Third Proportional to 311,472 and 681,912

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Solution

The third proportional to 311,472 and 681,912 is: 1,492,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,472 : 681,912 = 681,912 : x
  2. Step 2: Convert to fraction form
    311,472/681,912 = 681,912/x
  3. Step 3: Cross multiply
    311,472x = 681,912 × 681,912
  4. Step 4: Simplify right side
    311,472x = 465,003,975,744
  5. Step 5: Solve for x
    x = 465,003,975,744/311,472
  6. Step 6: Final answer
    x = 1,492,923.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.