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Finding the Third Proportional to 78,950 and 118,219

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Solution

The third proportional to 78,950 and 118,219 is: 177,020.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,950 : 118,219 = 118,219 : x
  2. Step 2: Convert to fraction form
    78,950/118,219 = 118,219/x
  3. Step 3: Cross multiply
    78,950x = 118,219 × 118,219
  4. Step 4: Simplify right side
    78,950x = 13,975,731,961
  5. Step 5: Solve for x
    x = 13,975,731,961/78,950
  6. Step 6: Final answer
    x = 177,020.04

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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.