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Finding the Third Proportional to 35,170 and 78,115

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Solution

The third proportional to 35,170 and 78,115 is: 173,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,170 : 78,115 = 78,115 : x
  2. Step 2: Convert to fraction form
    35,170/78,115 = 78,115/x
  3. Step 3: Cross multiply
    35,170x = 78,115 × 78,115
  4. Step 4: Simplify right side
    35,170x = 6,101,953,225
  5. Step 5: Solve for x
    x = 6,101,953,225/35,170
  6. Step 6: Final answer
    x = 173,498.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.