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Finding the Third Proportional to 340,433.50 and 512,119

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Solution

The third proportional to 340,433.50 and 512,119 is: 770,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,433.50 : 512,119 = 512,119 : x
  2. Step 2: Convert to fraction form
    340,433.50/512,119 = 512,119/x
  3. Step 3: Cross multiply
    340,433.50x = 512,119 × 512,119
  4. Step 4: Simplify right side
    340,433.50x = 262,265,870,161
  5. Step 5: Solve for x
    x = 262,265,870,161/340,433.50
  6. Step 6: Final answer
    x = 770,387.96

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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.