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Finding the Third Proportional to 81,234 and 121,851

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Solution

The third proportional to 81,234 and 121,851 is: 182,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,234 : 121,851 = 121,851 : x
  2. Step 2: Convert to fraction form
    81,234/121,851 = 121,851/x
  3. Step 3: Cross multiply
    81,234x = 121,851 × 121,851
  4. Step 4: Simplify right side
    81,234x = 14,847,666,201
  5. Step 5: Solve for x
    x = 14,847,666,201/81,234
  6. Step 6: Final answer
    x = 182,776.50

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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.