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Finding the Third Proportional to 36,712 and 81,010

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Solution

The third proportional to 36,712 and 81,010 is: 178,759.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,712 : 81,010 = 81,010 : x
  2. Step 2: Convert to fraction form
    36,712/81,010 = 81,010/x
  3. Step 3: Cross multiply
    36,712x = 81,010 × 81,010
  4. Step 4: Simplify right side
    36,712x = 6,562,620,100
  5. Step 5: Solve for x
    x = 6,562,620,100/36,712
  6. Step 6: Final answer
    x = 178,759.54

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.