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Finding the Third Proportional to 196,306 and 418,740

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Solution

The third proportional to 196,306 and 418,740 is: 893,213.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,306 : 418,740 = 418,740 : x
  2. Step 2: Convert to fraction form
    196,306/418,740 = 418,740/x
  3. Step 3: Cross multiply
    196,306x = 418,740 × 418,740
  4. Step 4: Simplify right side
    196,306x = 175,343,187,600
  5. Step 5: Solve for x
    x = 175,343,187,600/196,306
  6. Step 6: Final answer
    x = 893,213.59

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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.