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Finding the Third Proportional to 81,875.81 and 178,977.09

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Solution

The third proportional to 81,875.81 and 178,977.09 is: 391,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,875.81 : 178,977.09 = 178,977.09 : x
  2. Step 2: Convert to fraction form
    81,875.81/178,977.09 = 178,977.09/x
  3. Step 3: Cross multiply
    81,875.81x = 178,977.09 × 178,977.09
  4. Step 4: Simplify right side
    81,875.81x = 32,032,800,087.20
  5. Step 5: Solve for x
    x = 32,032,800,087.20/81,875.81
  6. Step 6: Final answer
    x = 391,236.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.