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Finding the Third Proportional to 81,862.94 and 178,944.06

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Solution

The third proportional to 81,862.94 and 178,944.06 is: 391,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,862.94 : 178,944.06 = 178,944.06 : x
  2. Step 2: Convert to fraction form
    81,862.94/178,944.06 = 178,944.06/x
  3. Step 3: Cross multiply
    81,862.94x = 178,944.06 × 178,944.06
  4. Step 4: Simplify right side
    81,862.94x = 32,020,977,504.00
  5. Step 5: Solve for x
    x = 32,020,977,504.00/81,862.94
  6. Step 6: Final answer
    x = 391,153.54

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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.