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Finding the Third Proportional to 82,840.50 and 129,177

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Solution

The third proportional to 82,840.50 and 129,177 is: 201,431.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,840.50 : 129,177 = 129,177 : x
  2. Step 2: Convert to fraction form
    82,840.50/129,177 = 129,177/x
  3. Step 3: Cross multiply
    82,840.50x = 129,177 × 129,177
  4. Step 4: Simplify right side
    82,840.50x = 16,686,697,329
  5. Step 5: Solve for x
    x = 16,686,697,329/82,840.50
  6. Step 6: Final answer
    x = 201,431.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.