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Finding the Third Proportional to 82,821 and 129,153

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Solution

The third proportional to 82,821 and 129,153 is: 201,404.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,821 : 129,153 = 129,153 : x
  2. Step 2: Convert to fraction form
    82,821/129,153 = 129,153/x
  3. Step 3: Cross multiply
    82,821x = 129,153 × 129,153
  4. Step 4: Simplify right side
    82,821x = 16,680,497,409
  5. Step 5: Solve for x
    x = 16,680,497,409/82,821
  6. Step 6: Final answer
    x = 201,404.20

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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.