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Finding the Third Proportional to 129,009 and 303,546

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Solution

The third proportional to 129,009 and 303,546 is: 714,215.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,009 : 303,546 = 303,546 : x
  2. Step 2: Convert to fraction form
    129,009/303,546 = 303,546/x
  3. Step 3: Cross multiply
    129,009x = 303,546 × 303,546
  4. Step 4: Simplify right side
    129,009x = 92,140,174,116
  5. Step 5: Solve for x
    x = 92,140,174,116/129,009
  6. Step 6: Final answer
    x = 714,215.09

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.