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Finding the Third Proportional to 81,372.09 and 121,978.41

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Solution

The third proportional to 81,372.09 and 121,978.41 is: 182,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,372.09 : 121,978.41 = 121,978.41 : x
  2. Step 2: Convert to fraction form
    81,372.09/121,978.41 = 121,978.41/x
  3. Step 3: Cross multiply
    81,372.09x = 121,978.41 × 121,978.41
  4. Step 4: Simplify right side
    81,372.09x = 14,878,731,591.29
  5. Step 5: Solve for x
    x = 14,878,731,591.29/81,372.09
  6. Step 6: Final answer
    x = 182,848.09

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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.