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Finding the Third Proportional to 85,010 and 131,170

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Solution

The third proportional to 85,010 and 131,170 is: 202,394.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,010 : 131,170 = 131,170 : x
  2. Step 2: Convert to fraction form
    85,010/131,170 = 131,170/x
  3. Step 3: Cross multiply
    85,010x = 131,170 × 131,170
  4. Step 4: Simplify right side
    85,010x = 17,205,568,900
  5. Step 5: Solve for x
    x = 17,205,568,900/85,010
  6. Step 6: Final answer
    x = 202,394.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.