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Finding the Third Proportional to 308,508 and 641,640

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Solution

The third proportional to 308,508 and 641,640 is: 1,334,493.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,508 : 641,640 = 641,640 : x
  2. Step 2: Convert to fraction form
    308,508/641,640 = 641,640/x
  3. Step 3: Cross multiply
    308,508x = 641,640 × 641,640
  4. Step 4: Simplify right side
    308,508x = 411,701,889,600
  5. Step 5: Solve for x
    x = 411,701,889,600/308,508
  6. Step 6: Final answer
    x = 1,334,493.40

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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.