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Finding the Third Proportional to 308,774 and 461,857

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Solution

The third proportional to 308,774 and 461,857 is: 690,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,774 : 461,857 = 461,857 : x
  2. Step 2: Convert to fraction form
    308,774/461,857 = 461,857/x
  3. Step 3: Cross multiply
    308,774x = 461,857 × 461,857
  4. Step 4: Simplify right side
    308,774x = 213,311,888,449
  5. Step 5: Solve for x
    x = 213,311,888,449/308,774
  6. Step 6: Final answer
    x = 690,835.01

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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.