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Finding the Third Proportional to 308,978 and 491,666

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Solution

The third proportional to 308,978 and 491,666 is: 782,371.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,978 : 491,666 = 491,666 : x
  2. Step 2: Convert to fraction form
    308,978/491,666 = 491,666/x
  3. Step 3: Cross multiply
    308,978x = 491,666 × 491,666
  4. Step 4: Simplify right side
    308,978x = 241,735,455,556
  5. Step 5: Solve for x
    x = 241,735,455,556/308,978
  6. Step 6: Final answer
    x = 782,371.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.