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Finding the Third Proportional to 81,226 and 121,840

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Solution

The third proportional to 81,226 and 121,840 is: 182,761.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,226 : 121,840 = 121,840 : x
  2. Step 2: Convert to fraction form
    81,226/121,840 = 121,840/x
  3. Step 3: Cross multiply
    81,226x = 121,840 × 121,840
  4. Step 4: Simplify right side
    81,226x = 14,844,985,600
  5. Step 5: Solve for x
    x = 14,844,985,600/81,226
  6. Step 6: Final answer
    x = 182,761.50

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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.