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Finding the Third Proportional to 82,821 and 129,152

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Solution

The third proportional to 82,821 and 129,152 is: 201,401.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,821 : 129,152 = 129,152 : x
  2. Step 2: Convert to fraction form
    82,821/129,152 = 129,152/x
  3. Step 3: Cross multiply
    82,821x = 129,152 × 129,152
  4. Step 4: Simplify right side
    82,821x = 16,680,239,104
  5. Step 5: Solve for x
    x = 16,680,239,104/82,821
  6. Step 6: Final answer
    x = 201,401.08

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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.