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Finding the Third Proportional to 88,762 and 193,197

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Solution

The third proportional to 88,762 and 193,197 is: 420,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,762 : 193,197 = 193,197 : x
  2. Step 2: Convert to fraction form
    88,762/193,197 = 193,197/x
  3. Step 3: Cross multiply
    88,762x = 193,197 × 193,197
  4. Step 4: Simplify right side
    88,762x = 37,325,080,809
  5. Step 5: Solve for x
    x = 37,325,080,809/88,762
  6. Step 6: Final answer
    x = 420,507.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.