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Finding the Third Proportional to 67,425 and 136,764

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Solution

The third proportional to 67,425 and 136,764 is: 277,410.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,425 : 136,764 = 136,764 : x
  2. Step 2: Convert to fraction form
    67,425/136,764 = 136,764/x
  3. Step 3: Cross multiply
    67,425x = 136,764 × 136,764
  4. Step 4: Simplify right side
    67,425x = 18,704,391,696
  5. Step 5: Solve for x
    x = 18,704,391,696/67,425
  6. Step 6: Final answer
    x = 277,410.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.