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Finding the Third Proportional to 199,722 and 434,709

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Solution

The third proportional to 199,722 and 434,709 is: 946,174.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,722 : 434,709 = 434,709 : x
  2. Step 2: Convert to fraction form
    199,722/434,709 = 434,709/x
  3. Step 3: Cross multiply
    199,722x = 434,709 × 434,709
  4. Step 4: Simplify right side
    199,722x = 188,971,914,681
  5. Step 5: Solve for x
    x = 188,971,914,681/199,722
  6. Step 6: Final answer
    x = 946,174.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.