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Finding the Third Proportional to 266,105 and 401,912

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Solution

The third proportional to 266,105 and 401,912 is: 607,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,105 : 401,912 = 401,912 : x
  2. Step 2: Convert to fraction form
    266,105/401,912 = 401,912/x
  3. Step 3: Cross multiply
    266,105x = 401,912 × 401,912
  4. Step 4: Simplify right side
    266,105x = 161,533,255,744
  5. Step 5: Solve for x
    x = 161,533,255,744/266,105
  6. Step 6: Final answer
    x = 607,028.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.