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Finding the Third Proportional to 196,967 and 418,558

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Solution

The third proportional to 196,967 and 418,558 is: 889,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,967 : 418,558 = 418,558 : x
  2. Step 2: Convert to fraction form
    196,967/418,558 = 418,558/x
  3. Step 3: Cross multiply
    196,967x = 418,558 × 418,558
  4. Step 4: Simplify right side
    196,967x = 175,190,799,364
  5. Step 5: Solve for x
    x = 175,190,799,364/196,967
  6. Step 6: Final answer
    x = 889,442.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.