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Finding the Third Proportional to 78,855 and 118,165

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Solution

The third proportional to 78,855 and 118,165 is: 177,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,855 : 118,165 = 118,165 : x
  2. Step 2: Convert to fraction form
    78,855/118,165 = 118,165/x
  3. Step 3: Cross multiply
    78,855x = 118,165 × 118,165
  4. Step 4: Simplify right side
    78,855x = 13,962,967,225
  5. Step 5: Solve for x
    x = 13,962,967,225/78,855
  6. Step 6: Final answer
    x = 177,071.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.