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Finding the Third Proportional to 196,406 and 418,444

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Solution

The third proportional to 196,406 and 418,444 is: 891,497.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,406 : 418,444 = 418,444 : x
  2. Step 2: Convert to fraction form
    196,406/418,444 = 418,444/x
  3. Step 3: Cross multiply
    196,406x = 418,444 × 418,444
  4. Step 4: Simplify right side
    196,406x = 175,095,381,136
  5. Step 5: Solve for x
    x = 175,095,381,136/196,406
  6. Step 6: Final answer
    x = 891,497.11

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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.