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Finding the Third Proportional to 121,405 and 266,898

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Solution

The third proportional to 121,405 and 266,898 is: 586,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,405 : 266,898 = 266,898 : x
  2. Step 2: Convert to fraction form
    121,405/266,898 = 266,898/x
  3. Step 3: Cross multiply
    121,405x = 266,898 × 266,898
  4. Step 4: Simplify right side
    121,405x = 71,234,542,404
  5. Step 5: Solve for x
    x = 71,234,542,404/121,405
  6. Step 6: Final answer
    x = 586,751.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.