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Finding the Third Proportional to 40,005 and 53,680

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Solution

The third proportional to 40,005 and 53,680 is: 72,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,005 : 53,680 = 53,680 : x
  2. Step 2: Convert to fraction form
    40,005/53,680 = 53,680/x
  3. Step 3: Cross multiply
    40,005x = 53,680 × 53,680
  4. Step 4: Simplify right side
    40,005x = 2,881,542,400
  5. Step 5: Solve for x
    x = 2,881,542,400/40,005
  6. Step 6: Final answer
    x = 72,029.56

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.