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Finding the Third Proportional to 305,706 and 407,718

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Solution

The third proportional to 305,706 and 407,718 is: 543,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,706 : 407,718 = 407,718 : x
  2. Step 2: Convert to fraction form
    305,706/407,718 = 407,718/x
  3. Step 3: Cross multiply
    305,706x = 407,718 × 407,718
  4. Step 4: Simplify right side
    305,706x = 166,233,967,524
  5. Step 5: Solve for x
    x = 166,233,967,524/305,706
  6. Step 6: Final answer
    x = 543,770.71

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.