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Finding the Third Proportional to 154,872 and 335,745

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Solution

The third proportional to 154,872 and 335,745 is: 727,857.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,872 : 335,745 = 335,745 : x
  2. Step 2: Convert to fraction form
    154,872/335,745 = 335,745/x
  3. Step 3: Cross multiply
    154,872x = 335,745 × 335,745
  4. Step 4: Simplify right side
    154,872x = 112,724,705,025
  5. Step 5: Solve for x
    x = 112,724,705,025/154,872
  6. Step 6: Final answer
    x = 727,857.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.