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Finding the Third Proportional to 78,887.25 and 172,230.75

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Solution

The third proportional to 78,887.25 and 172,230.75 is: 376,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,887.25 : 172,230.75 = 172,230.75 : x
  2. Step 2: Convert to fraction form
    78,887.25/172,230.75 = 172,230.75/x
  3. Step 3: Cross multiply
    78,887.25x = 172,230.75 × 172,230.75
  4. Step 4: Simplify right side
    78,887.25x = 29,663,431,245.56
  5. Step 5: Solve for x
    x = 29,663,431,245.56/78,887.25
  6. Step 6: Final answer
    x = 376,023.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.