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Finding the Third Proportional to 81,848 and 121,467

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Solution

The third proportional to 81,848 and 121,467 is: 180,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,848 : 121,467 = 121,467 : x
  2. Step 2: Convert to fraction form
    81,848/121,467 = 121,467/x
  3. Step 3: Cross multiply
    81,848x = 121,467 × 121,467
  4. Step 4: Simplify right side
    81,848x = 14,754,232,089
  5. Step 5: Solve for x
    x = 14,754,232,089/81,848
  6. Step 6: Final answer
    x = 180,263.81

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.