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Finding the Third Proportional to 133,047 and 285,777

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Solution

The third proportional to 133,047 and 285,777 is: 613,831.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,047 : 285,777 = 285,777 : x
  2. Step 2: Convert to fraction form
    133,047/285,777 = 285,777/x
  3. Step 3: Cross multiply
    133,047x = 285,777 × 285,777
  4. Step 4: Simplify right side
    133,047x = 81,668,493,729
  5. Step 5: Solve for x
    x = 81,668,493,729/133,047
  6. Step 6: Final answer
    x = 613,831.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.