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Finding the Third Proportional to 308,754 and 461,979

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Solution

The third proportional to 308,754 and 461,979 is: 691,244.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,754 : 461,979 = 461,979 : x
  2. Step 2: Convert to fraction form
    308,754/461,979 = 461,979/x
  3. Step 3: Cross multiply
    308,754x = 461,979 × 461,979
  4. Step 4: Simplify right side
    308,754x = 213,424,596,441
  5. Step 5: Solve for x
    x = 213,424,596,441/308,754
  6. Step 6: Final answer
    x = 691,244.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.