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Finding the Third Proportional to 97,209 and 197,874

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Solution

The third proportional to 97,209 and 197,874 is: 402,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,209 : 197,874 = 197,874 : x
  2. Step 2: Convert to fraction form
    97,209/197,874 = 197,874/x
  3. Step 3: Cross multiply
    97,209x = 197,874 × 197,874
  4. Step 4: Simplify right side
    97,209x = 39,154,119,876
  5. Step 5: Solve for x
    x = 39,154,119,876/97,209
  6. Step 6: Final answer
    x = 402,782.87

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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.