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Finding the Third Proportional to 345,867 and 745,098

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Solution

The third proportional to 345,867 and 745,098 is: 1,605,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,867 : 745,098 = 745,098 : x
  2. Step 2: Convert to fraction form
    345,867/745,098 = 745,098/x
  3. Step 3: Cross multiply
    345,867x = 745,098 × 745,098
  4. Step 4: Simplify right side
    345,867x = 555,171,029,604
  5. Step 5: Solve for x
    x = 555,171,029,604/345,867
  6. Step 6: Final answer
    x = 1,605,157.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.