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Finding the Third Proportional to 206,128 and 434,400

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Solution

The third proportional to 206,128 and 434,400 is: 915,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,128 : 434,400 = 434,400 : x
  2. Step 2: Convert to fraction form
    206,128/434,400 = 434,400/x
  3. Step 3: Cross multiply
    206,128x = 434,400 × 434,400
  4. Step 4: Simplify right side
    206,128x = 188,703,360,000
  5. Step 5: Solve for x
    x = 188,703,360,000/206,128
  6. Step 6: Final answer
    x = 915,466.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.