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Finding the Third Proportional to 357,144 and 743,874

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Solution

The third proportional to 357,144 and 743,874 is: 1,549,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,144 : 743,874 = 743,874 : x
  2. Step 2: Convert to fraction form
    357,144/743,874 = 743,874/x
  3. Step 3: Cross multiply
    357,144x = 743,874 × 743,874
  4. Step 4: Simplify right side
    357,144x = 553,348,527,876
  5. Step 5: Solve for x
    x = 553,348,527,876/357,144
  6. Step 6: Final answer
    x = 1,549,370.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.