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Finding the Third Proportional to 342,609.75 and 513,945

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Solution

The third proportional to 342,609.75 and 513,945 is: 770,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,609.75 : 513,945 = 513,945 : x
  2. Step 2: Convert to fraction form
    342,609.75/513,945 = 513,945/x
  3. Step 3: Cross multiply
    342,609.75x = 513,945 × 513,945
  4. Step 4: Simplify right side
    342,609.75x = 264,139,463,025
  5. Step 5: Solve for x
    x = 264,139,463,025/342,609.75
  6. Step 6: Final answer
    x = 770,963.07

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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.