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Finding the Third Proportional to 155,397 and 343,467

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Solution

The third proportional to 155,397 and 343,467 is: 759,149.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,397 : 343,467 = 343,467 : x
  2. Step 2: Convert to fraction form
    155,397/343,467 = 343,467/x
  3. Step 3: Cross multiply
    155,397x = 343,467 × 343,467
  4. Step 4: Simplify right side
    155,397x = 117,969,580,089
  5. Step 5: Solve for x
    x = 117,969,580,089/155,397
  6. Step 6: Final answer
    x = 759,149.66

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.