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Finding the Third Proportional to 154,218 and 230,042

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Solution

The third proportional to 154,218 and 230,042 is: 343,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,218 : 230,042 = 230,042 : x
  2. Step 2: Convert to fraction form
    154,218/230,042 = 230,042/x
  3. Step 3: Cross multiply
    154,218x = 230,042 × 230,042
  4. Step 4: Simplify right side
    154,218x = 52,919,321,764
  5. Step 5: Solve for x
    x = 52,919,321,764/154,218
  6. Step 6: Final answer
    x = 343,146.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.