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Finding the Third Proportional to 39,642 and 57,681

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Solution

The third proportional to 39,642 and 57,681 is: 83,928.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,642 : 57,681 = 57,681 : x
  2. Step 2: Convert to fraction form
    39,642/57,681 = 57,681/x
  3. Step 3: Cross multiply
    39,642x = 57,681 × 57,681
  4. Step 4: Simplify right side
    39,642x = 3,327,097,761
  5. Step 5: Solve for x
    x = 3,327,097,761/39,642
  6. Step 6: Final answer
    x = 83,928.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.