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Finding the Third Proportional to 345,834 and 757,278

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Solution

The third proportional to 345,834 and 757,278 is: 1,658,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,834 : 757,278 = 757,278 : x
  2. Step 2: Convert to fraction form
    345,834/757,278 = 757,278/x
  3. Step 3: Cross multiply
    345,834x = 757,278 × 757,278
  4. Step 4: Simplify right side
    345,834x = 573,469,969,284
  5. Step 5: Solve for x
    x = 573,469,969,284/345,834
  6. Step 6: Final answer
    x = 1,658,223.22

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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.