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Finding the Third Proportional to 308,568 and 641,712

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Solution

The third proportional to 308,568 and 641,712 is: 1,334,533.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,568 : 641,712 = 641,712 : x
  2. Step 2: Convert to fraction form
    308,568/641,712 = 641,712/x
  3. Step 3: Cross multiply
    308,568x = 641,712 × 641,712
  4. Step 4: Simplify right side
    308,568x = 411,794,290,944
  5. Step 5: Solve for x
    x = 411,794,290,944/308,568
  6. Step 6: Final answer
    x = 1,334,533.36

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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.