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Finding the Third Proportional to 87,129 and 190,883.25

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Solution

The third proportional to 87,129 and 190,883.25 is: 418,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,129 : 190,883.25 = 190,883.25 : x
  2. Step 2: Convert to fraction form
    87,129/190,883.25 = 190,883.25/x
  3. Step 3: Cross multiply
    87,129x = 190,883.25 × 190,883.25
  4. Step 4: Simplify right side
    87,129x = 36,436,415,130.56
  5. Step 5: Solve for x
    x = 36,436,415,130.56/87,129
  6. Step 6: Final answer
    x = 418,189.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.