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Finding the Third Proportional to 64,725.75 and 90,162

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Solution

The third proportional to 64,725.75 and 90,162 is: 125,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,725.75 : 90,162 = 90,162 : x
  2. Step 2: Convert to fraction form
    64,725.75/90,162 = 90,162/x
  3. Step 3: Cross multiply
    64,725.75x = 90,162 × 90,162
  4. Step 4: Simplify right side
    64,725.75x = 8,129,186,244
  5. Step 5: Solve for x
    x = 8,129,186,244/64,725.75
  6. Step 6: Final answer
    x = 125,594.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.