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Finding the Third Proportional to 39,642 and 54,360

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Solution

The third proportional to 39,642 and 54,360 is: 74,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,642 : 54,360 = 54,360 : x
  2. Step 2: Convert to fraction form
    39,642/54,360 = 54,360/x
  3. Step 3: Cross multiply
    39,642x = 54,360 × 54,360
  4. Step 4: Simplify right side
    39,642x = 2,955,009,600
  5. Step 5: Solve for x
    x = 2,955,009,600/39,642
  6. Step 6: Final answer
    x = 74,542.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.