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Finding the Third Proportional to 63,072 and 87,696

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Solution

The third proportional to 63,072 and 87,696 is: 121,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,072 : 87,696 = 87,696 : x
  2. Step 2: Convert to fraction form
    63,072/87,696 = 87,696/x
  3. Step 3: Cross multiply
    63,072x = 87,696 × 87,696
  4. Step 4: Simplify right side
    63,072x = 7,690,588,416
  5. Step 5: Solve for x
    x = 7,690,588,416/63,072
  6. Step 6: Final answer
    x = 121,933.48

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.