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Finding the Third Proportional to 154,323 and 338,190

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Solution

The third proportional to 154,323 and 338,190 is: 741,123.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,323 : 338,190 = 338,190 : x
  2. Step 2: Convert to fraction form
    154,323/338,190 = 338,190/x
  3. Step 3: Cross multiply
    154,323x = 338,190 × 338,190
  4. Step 4: Simplify right side
    154,323x = 114,372,476,100
  5. Step 5: Solve for x
    x = 114,372,476,100/154,323
  6. Step 6: Final answer
    x = 741,123.98

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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.