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Finding the Third Proportional to 141,815 and 305,134

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Solution

The third proportional to 141,815 and 305,134 is: 656,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,815 : 305,134 = 305,134 : x
  2. Step 2: Convert to fraction form
    141,815/305,134 = 305,134/x
  3. Step 3: Cross multiply
    141,815x = 305,134 × 305,134
  4. Step 4: Simplify right side
    141,815x = 93,106,757,956
  5. Step 5: Solve for x
    x = 93,106,757,956/141,815
  6. Step 6: Final answer
    x = 656,536.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.