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Finding the Third Proportional to 63,640 and 86,696

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Solution

The third proportional to 63,640 and 86,696 is: 118,104.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,640 : 86,696 = 86,696 : x
  2. Step 2: Convert to fraction form
    63,640/86,696 = 86,696/x
  3. Step 3: Cross multiply
    63,640x = 86,696 × 86,696
  4. Step 4: Simplify right side
    63,640x = 7,516,196,416
  5. Step 5: Solve for x
    x = 7,516,196,416/63,640
  6. Step 6: Final answer
    x = 118,104.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.