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Finding the Third Proportional to 51,962 and 115,810.75

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Solution

The third proportional to 51,962 and 115,810.75 is: 258,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,962 : 115,810.75 = 115,810.75 : x
  2. Step 2: Convert to fraction form
    51,962/115,810.75 = 115,810.75/x
  3. Step 3: Cross multiply
    51,962x = 115,810.75 × 115,810.75
  4. Step 4: Simplify right side
    51,962x = 13,412,129,815.56
  5. Step 5: Solve for x
    x = 13,412,129,815.56/51,962
  6. Step 6: Final answer
    x = 258,114.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.