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Finding the Third Proportional to 135,744 and 294,720

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Solution

The third proportional to 135,744 and 294,720 is: 639,880.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,744 : 294,720 = 294,720 : x
  2. Step 2: Convert to fraction form
    135,744/294,720 = 294,720/x
  3. Step 3: Cross multiply
    135,744x = 294,720 × 294,720
  4. Step 4: Simplify right side
    135,744x = 86,859,878,400
  5. Step 5: Solve for x
    x = 86,859,878,400/135,744
  6. Step 6: Final answer
    x = 639,880.06

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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.