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Finding the Third Proportional to 190,530 and 261,495

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Solution

The third proportional to 190,530 and 261,495 is: 358,891.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,530 : 261,495 = 261,495 : x
  2. Step 2: Convert to fraction form
    190,530/261,495 = 261,495/x
  3. Step 3: Cross multiply
    190,530x = 261,495 × 261,495
  4. Step 4: Simplify right side
    190,530x = 68,379,635,025
  5. Step 5: Solve for x
    x = 68,379,635,025/190,530
  6. Step 6: Final answer
    x = 358,891.70

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.