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Finding the Third Proportional to 40,560 and 87,361

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Solution

The third proportional to 40,560 and 87,361 is: 188,164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,560 : 87,361 = 87,361 : x
  2. Step 2: Convert to fraction form
    40,560/87,361 = 87,361/x
  3. Step 3: Cross multiply
    40,560x = 87,361 × 87,361
  4. Step 4: Simplify right side
    40,560x = 7,631,944,321
  5. Step 5: Solve for x
    x = 7,631,944,321/40,560
  6. Step 6: Final answer
    x = 188,164.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.