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Finding the Third Proportional to 154,436 and 338,397

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Solution

The third proportional to 154,436 and 338,397 is: 741,488.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,436 : 338,397 = 338,397 : x
  2. Step 2: Convert to fraction form
    154,436/338,397 = 338,397/x
  3. Step 3: Cross multiply
    154,436x = 338,397 × 338,397
  4. Step 4: Simplify right side
    154,436x = 114,512,529,609
  5. Step 5: Solve for x
    x = 114,512,529,609/154,436
  6. Step 6: Final answer
    x = 741,488.58

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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.