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Finding the Third Proportional to 135,042 and 294,384

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Solution

The third proportional to 135,042 and 294,384 is: 641,740.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,042 : 294,384 = 294,384 : x
  2. Step 2: Convert to fraction form
    135,042/294,384 = 294,384/x
  3. Step 3: Cross multiply
    135,042x = 294,384 × 294,384
  4. Step 4: Simplify right side
    135,042x = 86,661,939,456
  5. Step 5: Solve for x
    x = 86,661,939,456/135,042
  6. Step 6: Final answer
    x = 641,740.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.