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Finding the Third Proportional to 135,940 and 215,929

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Solution

The third proportional to 135,940 and 215,929 is: 342,984.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,940 : 215,929 = 215,929 : x
  2. Step 2: Convert to fraction form
    135,940/215,929 = 215,929/x
  3. Step 3: Cross multiply
    135,940x = 215,929 × 215,929
  4. Step 4: Simplify right side
    135,940x = 46,625,333,041
  5. Step 5: Solve for x
    x = 46,625,333,041/135,940
  6. Step 6: Final answer
    x = 342,984.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.