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Finding the Third Proportional to 39,642 and 53,991

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Solution

The third proportional to 39,642 and 53,991 is: 73,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,642 : 53,991 = 53,991 : x
  2. Step 2: Convert to fraction form
    39,642/53,991 = 53,991/x
  3. Step 3: Cross multiply
    39,642x = 53,991 × 53,991
  4. Step 4: Simplify right side
    39,642x = 2,915,028,081
  5. Step 5: Solve for x
    x = 2,915,028,081/39,642
  6. Step 6: Final answer
    x = 73,533.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.