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Finding the Third Proportional to 154,845 and 218,046

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Solution

The third proportional to 154,845 and 218,046 is: 307,042.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,845 : 218,046 = 218,046 : x
  2. Step 2: Convert to fraction form
    154,845/218,046 = 218,046/x
  3. Step 3: Cross multiply
    154,845x = 218,046 × 218,046
  4. Step 4: Simplify right side
    154,845x = 47,544,058,116
  5. Step 5: Solve for x
    x = 47,544,058,116/154,845
  6. Step 6: Final answer
    x = 307,042.90

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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.