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Finding the Third Proportional to 135,468 and 205,902

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Solution

The third proportional to 135,468 and 205,902 is: 312,956.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,468 : 205,902 = 205,902 : x
  2. Step 2: Convert to fraction form
    135,468/205,902 = 205,902/x
  3. Step 3: Cross multiply
    135,468x = 205,902 × 205,902
  4. Step 4: Simplify right side
    135,468x = 42,395,633,604
  5. Step 5: Solve for x
    x = 42,395,633,604/135,468
  6. Step 6: Final answer
    x = 312,956.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.