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Finding the Third Proportional to 342,003 and 513,186

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Solution

The third proportional to 342,003 and 513,186 is: 770,051.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,003 : 513,186 = 513,186 : x
  2. Step 2: Convert to fraction form
    342,003/513,186 = 513,186/x
  3. Step 3: Cross multiply
    342,003x = 513,186 × 513,186
  4. Step 4: Simplify right side
    342,003x = 263,359,870,596
  5. Step 5: Solve for x
    x = 263,359,870,596/342,003
  6. Step 6: Final answer
    x = 770,051.35

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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.