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Finding the Third Proportional to 345,196 and 770,744

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Solution

The third proportional to 345,196 and 770,744 is: 1,720,895.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,196 : 770,744 = 770,744 : x
  2. Step 2: Convert to fraction form
    345,196/770,744 = 770,744/x
  3. Step 3: Cross multiply
    345,196x = 770,744 × 770,744
  4. Step 4: Simplify right side
    345,196x = 594,046,313,536
  5. Step 5: Solve for x
    x = 594,046,313,536/345,196
  6. Step 6: Final answer
    x = 1,720,895.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.