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Finding the Third Proportional to 78,920 and 117,180

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Solution

The third proportional to 78,920 and 117,180 is: 173,988.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,920 : 117,180 = 117,180 : x
  2. Step 2: Convert to fraction form
    78,920/117,180 = 117,180/x
  3. Step 3: Cross multiply
    78,920x = 117,180 × 117,180
  4. Step 4: Simplify right side
    78,920x = 13,731,152,400
  5. Step 5: Solve for x
    x = 13,731,152,400/78,920
  6. Step 6: Final answer
    x = 173,988.25

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.