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Finding the Third Proportional to 81,860.15 and 178,936.75

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Solution

The third proportional to 81,860.15 and 178,936.75 is: 391,134.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,860.15 : 178,936.75 = 178,936.75 : x
  2. Step 2: Convert to fraction form
    81,860.15/178,936.75 = 178,936.75/x
  3. Step 3: Cross multiply
    81,860.15x = 178,936.75 × 178,936.75
  4. Step 4: Simplify right side
    81,860.15x = 32,018,361,199.53
  5. Step 5: Solve for x
    x = 32,018,361,199.53/81,860.15
  6. Step 6: Final answer
    x = 391,134.89

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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.