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Finding the Third Proportional to 234,009 and 505,377

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Solution

The third proportional to 234,009 and 505,377 is: 1,091,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,009 : 505,377 = 505,377 : x
  2. Step 2: Convert to fraction form
    234,009/505,377 = 505,377/x
  3. Step 3: Cross multiply
    234,009x = 505,377 × 505,377
  4. Step 4: Simplify right side
    234,009x = 255,405,912,129
  5. Step 5: Solve for x
    x = 255,405,912,129/234,009
  6. Step 6: Final answer
    x = 1,091,436.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.