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Finding the Third Proportional to 345,638 and 533,199

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Solution

The third proportional to 345,638 and 533,199 is: 822,540.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,638 : 533,199 = 533,199 : x
  2. Step 2: Convert to fraction form
    345,638/533,199 = 533,199/x
  3. Step 3: Cross multiply
    345,638x = 533,199 × 533,199
  4. Step 4: Simplify right side
    345,638x = 284,301,173,601
  5. Step 5: Solve for x
    x = 284,301,173,601/345,638
  6. Step 6: Final answer
    x = 822,540.27

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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.