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Finding the Third Proportional to 197,331 and 317,799

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Solution

The third proportional to 197,331 and 317,799 is: 511,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,331 : 317,799 = 317,799 : x
  2. Step 2: Convert to fraction form
    197,331/317,799 = 317,799/x
  3. Step 3: Cross multiply
    197,331x = 317,799 × 317,799
  4. Step 4: Simplify right side
    197,331x = 100,996,204,401
  5. Step 5: Solve for x
    x = 100,996,204,401/197,331
  6. Step 6: Final answer
    x = 511,811.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.