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Finding the Third Proportional to 134,631 and 273,678

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Solution

The third proportional to 134,631 and 273,678 is: 556,332.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,631 : 273,678 = 273,678 : x
  2. Step 2: Convert to fraction form
    134,631/273,678 = 273,678/x
  3. Step 3: Cross multiply
    134,631x = 273,678 × 273,678
  4. Step 4: Simplify right side
    134,631x = 74,899,647,684
  5. Step 5: Solve for x
    x = 74,899,647,684/134,631
  6. Step 6: Final answer
    x = 556,332.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.