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Finding the Third Proportional to 308,836 and 671,816

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Solution

The third proportional to 308,836 and 671,816 is: 1,461,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,836 : 671,816 = 671,816 : x
  2. Step 2: Convert to fraction form
    308,836/671,816 = 671,816/x
  3. Step 3: Cross multiply
    308,836x = 671,816 × 671,816
  4. Step 4: Simplify right side
    308,836x = 451,336,737,856
  5. Step 5: Solve for x
    x = 451,336,737,856/308,836
  6. Step 6: Final answer
    x = 1,461,412.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.