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Finding the Third Proportional to 197,910 and 385,911

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Solution

The third proportional to 197,910 and 385,911 is: 752,500.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,910 : 385,911 = 385,911 : x
  2. Step 2: Convert to fraction form
    197,910/385,911 = 385,911/x
  3. Step 3: Cross multiply
    197,910x = 385,911 × 385,911
  4. Step 4: Simplify right side
    197,910x = 148,927,299,921
  5. Step 5: Solve for x
    x = 148,927,299,921/197,910
  6. Step 6: Final answer
    x = 752,500.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.