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Finding the Third Proportional to 317,202 and 491,739

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Solution

The third proportional to 317,202 and 491,739 is: 762,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,202 : 491,739 = 491,739 : x
  2. Step 2: Convert to fraction form
    317,202/491,739 = 491,739/x
  3. Step 3: Cross multiply
    317,202x = 491,739 × 491,739
  4. Step 4: Simplify right side
    317,202x = 241,807,244,121
  5. Step 5: Solve for x
    x = 241,807,244,121/317,202
  6. Step 6: Final answer
    x = 762,313.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.