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Finding the Third Proportional to 81,057 and 121,261

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Solution

The third proportional to 81,057 and 121,261 is: 181,406.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,057 : 121,261 = 121,261 : x
  2. Step 2: Convert to fraction form
    81,057/121,261 = 121,261/x
  3. Step 3: Cross multiply
    81,057x = 121,261 × 121,261
  4. Step 4: Simplify right side
    81,057x = 14,704,230,121
  5. Step 5: Solve for x
    x = 14,704,230,121/81,057
  6. Step 6: Final answer
    x = 181,406.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.