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Finding the Third Proportional to 308,832 and 671,808

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Solution

The third proportional to 308,832 and 671,808 is: 1,461,396.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,832 : 671,808 = 671,808 : x
  2. Step 2: Convert to fraction form
    308,832/671,808 = 671,808/x
  3. Step 3: Cross multiply
    308,832x = 671,808 × 671,808
  4. Step 4: Simplify right side
    308,832x = 451,325,988,864
  5. Step 5: Solve for x
    x = 451,325,988,864/308,832
  6. Step 6: Final answer
    x = 1,461,396.45

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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.