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Finding the Third Proportional to 78,085 and 171,218

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Solution

The third proportional to 78,085 and 171,218 is: 375,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,085 : 171,218 = 171,218 : x
  2. Step 2: Convert to fraction form
    78,085/171,218 = 171,218/x
  3. Step 3: Cross multiply
    78,085x = 171,218 × 171,218
  4. Step 4: Simplify right side
    78,085x = 29,315,603,524
  5. Step 5: Solve for x
    x = 29,315,603,524/78,085
  6. Step 6: Final answer
    x = 375,431.95

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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.