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Finding the Third Proportional to 199,960 and 434,912

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Solution

The third proportional to 199,960 and 434,912 is: 945,931.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,960 : 434,912 = 434,912 : x
  2. Step 2: Convert to fraction form
    199,960/434,912 = 434,912/x
  3. Step 3: Cross multiply
    199,960x = 434,912 × 434,912
  4. Step 4: Simplify right side
    199,960x = 189,148,447,744
  5. Step 5: Solve for x
    x = 189,148,447,744/199,960
  6. Step 6: Final answer
    x = 945,931.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.