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Finding the Third Proportional to 206,072 and 434,280

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Solution

The third proportional to 206,072 and 434,280 is: 915,209.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,072 : 434,280 = 434,280 : x
  2. Step 2: Convert to fraction form
    206,072/434,280 = 434,280/x
  3. Step 3: Cross multiply
    206,072x = 434,280 × 434,280
  4. Step 4: Simplify right side
    206,072x = 188,599,118,400
  5. Step 5: Solve for x
    x = 188,599,118,400/206,072
  6. Step 6: Final answer
    x = 915,209.82

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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.