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Finding the Third Proportional to 196,440 and 418,636

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Solution

The third proportional to 196,440 and 418,636 is: 892,160.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,440 : 418,636 = 418,636 : x
  2. Step 2: Convert to fraction form
    196,440/418,636 = 418,636/x
  3. Step 3: Cross multiply
    196,440x = 418,636 × 418,636
  4. Step 4: Simplify right side
    196,440x = 175,256,100,496
  5. Step 5: Solve for x
    x = 175,256,100,496/196,440
  6. Step 6: Final answer
    x = 892,160.97

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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.