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Finding the Third Proportional to 76,453.88 and 115,546.50

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Solution

The third proportional to 76,453.88 and 115,546.50 is: 174,628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,453.88 : 115,546.50 = 115,546.50 : x
  2. Step 2: Convert to fraction form
    76,453.88/115,546.50 = 115,546.50/x
  3. Step 3: Cross multiply
    76,453.88x = 115,546.50 × 115,546.50
  4. Step 4: Simplify right side
    76,453.88x = 13,350,993,662.25
  5. Step 5: Solve for x
    x = 13,350,993,662.25/76,453.88
  6. Step 6: Final answer
    x = 174,628.08

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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.