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Finding the Third Proportional to 78,732 and 118,692

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Solution

The third proportional to 78,732 and 118,692 is: 178,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732 : 118,692 = 118,692 : x
  2. Step 2: Convert to fraction form
    78,732/118,692 = 118,692/x
  3. Step 3: Cross multiply
    78,732x = 118,692 × 118,692
  4. Step 4: Simplify right side
    78,732x = 14,087,790,864
  5. Step 5: Solve for x
    x = 14,087,790,864/78,732
  6. Step 6: Final answer
    x = 178,933.48

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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.