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Finding the Third Proportional to 154,890 and 238,203

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Solution

The third proportional to 154,890 and 238,203 is: 366,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,890 : 238,203 = 238,203 : x
  2. Step 2: Convert to fraction form
    154,890/238,203 = 238,203/x
  3. Step 3: Cross multiply
    154,890x = 238,203 × 238,203
  4. Step 4: Simplify right side
    154,890x = 56,740,669,209
  5. Step 5: Solve for x
    x = 56,740,669,209/154,890
  6. Step 6: Final answer
    x = 366,328.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.