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Finding the Third Proportional to 102,525.75 and 113,460.75

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Solution

The third proportional to 102,525.75 and 113,460.75 is: 125,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,525.75 : 113,460.75 = 113,460.75 : x
  2. Step 2: Convert to fraction form
    102,525.75/113,460.75 = 113,460.75/x
  3. Step 3: Cross multiply
    102,525.75x = 113,460.75 × 113,460.75
  4. Step 4: Simplify right side
    102,525.75x = 12,873,341,790.56
  5. Step 5: Solve for x
    x = 12,873,341,790.56/102,525.75
  6. Step 6: Final answer
    x = 125,562.03

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.