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Finding the Third Proportional to 135,651 and 214,962

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Solution

The third proportional to 135,651 and 214,962 is: 340,643.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,651 : 214,962 = 214,962 : x
  2. Step 2: Convert to fraction form
    135,651/214,962 = 214,962/x
  3. Step 3: Cross multiply
    135,651x = 214,962 × 214,962
  4. Step 4: Simplify right side
    135,651x = 46,208,661,444
  5. Step 5: Solve for x
    x = 46,208,661,444/135,651
  6. Step 6: Final answer
    x = 340,643.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.