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Finding the Third Proportional to 199,696 and 427,472

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Solution

The third proportional to 199,696 and 427,472 is: 915,052.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,696 : 427,472 = 427,472 : x
  2. Step 2: Convert to fraction form
    199,696/427,472 = 427,472/x
  3. Step 3: Cross multiply
    199,696x = 427,472 × 427,472
  4. Step 4: Simplify right side
    199,696x = 182,732,310,784
  5. Step 5: Solve for x
    x = 182,732,310,784/199,696
  6. Step 6: Final answer
    x = 915,052.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.