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Finding the Third Proportional to 81,858.73 and 122,283.11

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Solution

The third proportional to 81,858.73 and 122,283.11 is: 182,670.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,858.73 : 122,283.11 = 122,283.11 : x
  2. Step 2: Convert to fraction form
    81,858.73/122,283.11 = 122,283.11/x
  3. Step 3: Cross multiply
    81,858.73x = 122,283.11 × 122,283.11
  4. Step 4: Simplify right side
    81,858.73x = 14,953,157,883.08
  5. Step 5: Solve for x
    x = 14,953,157,883.08/81,858.73
  6. Step 6: Final answer
    x = 182,670.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.