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Finding the Third Proportional to 78,905.25 and 119,178

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Solution

The third proportional to 78,905.25 and 119,178 is: 180,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,905.25 : 119,178 = 119,178 : x
  2. Step 2: Convert to fraction form
    78,905.25/119,178 = 119,178/x
  3. Step 3: Cross multiply
    78,905.25x = 119,178 × 119,178
  4. Step 4: Simplify right side
    78,905.25x = 14,203,395,684
  5. Step 5: Solve for x
    x = 14,203,395,684/78,905.25
  6. Step 6: Final answer
    x = 180,005.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.