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Finding the Third Proportional to 78,642 and 118,185

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Solution

The third proportional to 78,642 and 118,185 is: 177,611.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,642 : 118,185 = 118,185 : x
  2. Step 2: Convert to fraction form
    78,642/118,185 = 118,185/x
  3. Step 3: Cross multiply
    78,642x = 118,185 × 118,185
  4. Step 4: Simplify right side
    78,642x = 13,967,694,225
  5. Step 5: Solve for x
    x = 13,967,694,225/78,642
  6. Step 6: Final answer
    x = 177,611.13

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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.