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Finding the Third Proportional to 308,548 and 641,672

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Solution

The third proportional to 308,548 and 641,672 is: 1,334,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,548 : 641,672 = 641,672 : x
  2. Step 2: Convert to fraction form
    308,548/641,672 = 641,672/x
  3. Step 3: Cross multiply
    308,548x = 641,672 × 641,672
  4. Step 4: Simplify right side
    308,548x = 411,742,955,584
  5. Step 5: Solve for x
    x = 411,742,955,584/308,548
  6. Step 6: Final answer
    x = 1,334,453.49

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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.