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Finding the Third Proportional to 196,402 and 418,436

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Solution

The third proportional to 196,402 and 418,436 is: 891,481.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,402 : 418,436 = 418,436 : x
  2. Step 2: Convert to fraction form
    196,402/418,436 = 418,436/x
  3. Step 3: Cross multiply
    196,402x = 418,436 × 418,436
  4. Step 4: Simplify right side
    196,402x = 175,088,686,096
  5. Step 5: Solve for x
    x = 175,088,686,096/196,402
  6. Step 6: Final answer
    x = 891,481.18

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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.