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Finding the Third Proportional to 194,807 and 311,202

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Solution

The third proportional to 194,807 and 311,202 is: 497,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,807 : 311,202 = 311,202 : x
  2. Step 2: Convert to fraction form
    194,807/311,202 = 311,202/x
  3. Step 3: Cross multiply
    194,807x = 311,202 × 311,202
  4. Step 4: Simplify right side
    194,807x = 96,846,684,804
  5. Step 5: Solve for x
    x = 96,846,684,804/194,807
  6. Step 6: Final answer
    x = 497,141.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.