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Finding the Third Proportional to 82,738.55 and 178,599.09

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Solution

The third proportional to 82,738.55 and 178,599.09 is: 385,523.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,738.55 : 178,599.09 = 178,599.09 : x
  2. Step 2: Convert to fraction form
    82,738.55/178,599.09 = 178,599.09/x
  3. Step 3: Cross multiply
    82,738.55x = 178,599.09 × 178,599.09
  4. Step 4: Simplify right side
    82,738.55x = 31,897,636,288.32
  5. Step 5: Solve for x
    x = 31,897,636,288.32/82,738.55
  6. Step 6: Final answer
    x = 385,523.28

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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.