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Finding the Third Proportional to 342,864 and 513,958

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Solution

The third proportional to 342,864 and 513,958 is: 770,430.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,864 : 513,958 = 513,958 : x
  2. Step 2: Convert to fraction form
    342,864/513,958 = 513,958/x
  3. Step 3: Cross multiply
    342,864x = 513,958 × 513,958
  4. Step 4: Simplify right side
    342,864x = 264,152,825,764
  5. Step 5: Solve for x
    x = 264,152,825,764/342,864
  6. Step 6: Final answer
    x = 770,430.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.