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Finding the Third Proportional to 49,602 and 107,628

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Solution

The third proportional to 49,602 and 107,628 is: 233,534.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,602 : 107,628 = 107,628 : x
  2. Step 2: Convert to fraction form
    49,602/107,628 = 107,628/x
  3. Step 3: Cross multiply
    49,602x = 107,628 × 107,628
  4. Step 4: Simplify right side
    49,602x = 11,583,786,384
  5. Step 5: Solve for x
    x = 11,583,786,384/49,602
  6. Step 6: Final answer
    x = 233,534.66

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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.