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Finding the Third Proportional to 197,865 and 402,717

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Solution

The third proportional to 197,865 and 402,717 is: 819,654.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,865 : 402,717 = 402,717 : x
  2. Step 2: Convert to fraction form
    197,865/402,717 = 402,717/x
  3. Step 3: Cross multiply
    197,865x = 402,717 × 402,717
  4. Step 4: Simplify right side
    197,865x = 162,180,982,089
  5. Step 5: Solve for x
    x = 162,180,982,089/197,865
  6. Step 6: Final answer
    x = 819,654.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.