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Finding the Third Proportional to 78,000 and 168,956

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Solution

The third proportional to 78,000 and 168,956 is: 365,976.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000 : 168,956 = 168,956 : x
  2. Step 2: Convert to fraction form
    78,000/168,956 = 168,956/x
  3. Step 3: Cross multiply
    78,000x = 168,956 × 168,956
  4. Step 4: Simplify right side
    78,000x = 28,546,129,936
  5. Step 5: Solve for x
    x = 28,546,129,936/78,000
  6. Step 6: Final answer
    x = 365,976.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.