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Finding the Third Proportional to 197,488 and 418,512

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Solution

The third proportional to 197,488 and 418,512 is: 886,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,488 : 418,512 = 418,512 : x
  2. Step 2: Convert to fraction form
    197,488/418,512 = 418,512/x
  3. Step 3: Cross multiply
    197,488x = 418,512 × 418,512
  4. Step 4: Simplify right side
    197,488x = 175,152,294,144
  5. Step 5: Solve for x
    x = 175,152,294,144/197,488
  6. Step 6: Final answer
    x = 886,900.95

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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.