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Finding the Third Proportional to 134,923 and 290,256

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Solution

The third proportional to 134,923 and 290,256 is: 624,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,923 : 290,256 = 290,256 : x
  2. Step 2: Convert to fraction form
    134,923/290,256 = 290,256/x
  3. Step 3: Cross multiply
    134,923x = 290,256 × 290,256
  4. Step 4: Simplify right side
    134,923x = 84,248,545,536
  5. Step 5: Solve for x
    x = 84,248,545,536/134,923
  6. Step 6: Final answer
    x = 624,419.45

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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.