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Finding the Third Proportional to 88,132 and 193,760

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Solution

The third proportional to 88,132 and 193,760 is: 425,985.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,132 : 193,760 = 193,760 : x
  2. Step 2: Convert to fraction form
    88,132/193,760 = 193,760/x
  3. Step 3: Cross multiply
    88,132x = 193,760 × 193,760
  4. Step 4: Simplify right side
    88,132x = 37,542,937,600
  5. Step 5: Solve for x
    x = 37,542,937,600/88,132
  6. Step 6: Final answer
    x = 425,985.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.