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Finding the Third Proportional to 135,668 and 294,678

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Solution

The third proportional to 135,668 and 294,678 is: 640,056.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,668 : 294,678 = 294,678 : x
  2. Step 2: Convert to fraction form
    135,668/294,678 = 294,678/x
  3. Step 3: Cross multiply
    135,668x = 294,678 × 294,678
  4. Step 4: Simplify right side
    135,668x = 86,835,123,684
  5. Step 5: Solve for x
    x = 86,835,123,684/135,668
  6. Step 6: Final answer
    x = 640,056.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.