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Finding the Third Proportional to 85,296 and 186,720

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Solution

The third proportional to 85,296 and 186,720 is: 408,745.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,296 : 186,720 = 186,720 : x
  2. Step 2: Convert to fraction form
    85,296/186,720 = 186,720/x
  3. Step 3: Cross multiply
    85,296x = 186,720 × 186,720
  4. Step 4: Simplify right side
    85,296x = 34,864,358,400
  5. Step 5: Solve for x
    x = 34,864,358,400/85,296
  6. Step 6: Final answer
    x = 408,745.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.