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Finding the Third Proportional to 63,828 and 138,720

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Solution

The third proportional to 63,828 and 138,720 is: 301,485.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,828 : 138,720 = 138,720 : x
  2. Step 2: Convert to fraction form
    63,828/138,720 = 138,720/x
  3. Step 3: Cross multiply
    63,828x = 138,720 × 138,720
  4. Step 4: Simplify right side
    63,828x = 19,243,238,400
  5. Step 5: Solve for x
    x = 19,243,238,400/63,828
  6. Step 6: Final answer
    x = 301,485.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.