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Finding the Third Proportional to 308,850 and 666,906

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Solution

The third proportional to 308,850 and 666,906 is: 1,440,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,850 : 666,906 = 666,906 : x
  2. Step 2: Convert to fraction form
    308,850/666,906 = 666,906/x
  3. Step 3: Cross multiply
    308,850x = 666,906 × 666,906
  4. Step 4: Simplify right side
    308,850x = 444,763,612,836
  5. Step 5: Solve for x
    x = 444,763,612,836/308,850
  6. Step 6: Final answer
    x = 1,440,063.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.