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Finding the Third Proportional to 308,546 and 641,668

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Solution

The third proportional to 308,546 and 641,668 is: 1,334,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,546 : 641,668 = 641,668 : x
  2. Step 2: Convert to fraction form
    308,546/641,668 = 641,668/x
  3. Step 3: Cross multiply
    308,546x = 641,668 × 641,668
  4. Step 4: Simplify right side
    308,546x = 411,737,822,224
  5. Step 5: Solve for x
    x = 411,737,822,224/308,546
  6. Step 6: Final answer
    x = 1,334,445.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.