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Finding the Third Proportional to 135,659 and 294,670

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Solution

The third proportional to 135,659 and 294,670 is: 640,063.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,659 : 294,670 = 294,670 : x
  2. Step 2: Convert to fraction form
    135,659/294,670 = 294,670/x
  3. Step 3: Cross multiply
    135,659x = 294,670 × 294,670
  4. Step 4: Simplify right side
    135,659x = 86,830,408,900
  5. Step 5: Solve for x
    x = 86,830,408,900/135,659
  6. Step 6: Final answer
    x = 640,063.75

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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.