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Finding the Third Proportional to 154,842 and 218,049

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Solution

The third proportional to 154,842 and 218,049 is: 307,057.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,842 : 218,049 = 218,049 : x
  2. Step 2: Convert to fraction form
    154,842/218,049 = 218,049/x
  3. Step 3: Cross multiply
    154,842x = 218,049 × 218,049
  4. Step 4: Simplify right side
    154,842x = 47,545,366,401
  5. Step 5: Solve for x
    x = 47,545,366,401/154,842
  6. Step 6: Final answer
    x = 307,057.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.