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Finding the Third Proportional to 197,018 and 418,588

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Solution

The third proportional to 197,018 and 418,588 is: 889,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,018 : 418,588 = 418,588 : x
  2. Step 2: Convert to fraction form
    197,018/418,588 = 418,588/x
  3. Step 3: Cross multiply
    197,018x = 418,588 × 418,588
  4. Step 4: Simplify right side
    197,018x = 175,215,913,744
  5. Step 5: Solve for x
    x = 175,215,913,744/197,018
  6. Step 6: Final answer
    x = 889,339.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.