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Finding the Third Proportional to 154,678 and 339,236

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Solution

The third proportional to 154,678 and 339,236 is: 744,004.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,678 : 339,236 = 339,236 : x
  2. Step 2: Convert to fraction form
    154,678/339,236 = 339,236/x
  3. Step 3: Cross multiply
    154,678x = 339,236 × 339,236
  4. Step 4: Simplify right side
    154,678x = 115,081,063,696
  5. Step 5: Solve for x
    x = 115,081,063,696/154,678
  6. Step 6: Final answer
    x = 744,004.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.