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Finding the Third Proportional to 82,740.75 and 178,600.50

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Solution

The third proportional to 82,740.75 and 178,600.50 is: 385,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,740.75 : 178,600.50 = 178,600.50 : x
  2. Step 2: Convert to fraction form
    82,740.75/178,600.50 = 178,600.50/x
  3. Step 3: Cross multiply
    82,740.75x = 178,600.50 × 178,600.50
  4. Step 4: Simplify right side
    82,740.75x = 31,898,138,600.25
  5. Step 5: Solve for x
    x = 31,898,138,600.25/82,740.75
  6. Step 6: Final answer
    x = 385,519.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.