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Finding the Third Proportional to 81,451 and 114,699

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Solution

The third proportional to 81,451 and 114,699 is: 161,518.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,451 : 114,699 = 114,699 : x
  2. Step 2: Convert to fraction form
    81,451/114,699 = 114,699/x
  3. Step 3: Cross multiply
    81,451x = 114,699 × 114,699
  4. Step 4: Simplify right side
    81,451x = 13,155,860,601
  5. Step 5: Solve for x
    x = 13,155,860,601/81,451
  6. Step 6: Final answer
    x = 161,518.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.