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Finding the Third Proportional to 119,763 and 261,405

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Solution

The third proportional to 119,763 and 261,405 is: 570,564.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,763 : 261,405 = 261,405 : x
  2. Step 2: Convert to fraction form
    119,763/261,405 = 261,405/x
  3. Step 3: Cross multiply
    119,763x = 261,405 × 261,405
  4. Step 4: Simplify right side
    119,763x = 68,332,574,025
  5. Step 5: Solve for x
    x = 68,332,574,025/119,763
  6. Step 6: Final answer
    x = 570,564.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.