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Finding the Third Proportional to 82,562 and 129,699

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Solution

The third proportional to 82,562 and 129,699 is: 203,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,562 : 129,699 = 129,699 : x
  2. Step 2: Convert to fraction form
    82,562/129,699 = 129,699/x
  3. Step 3: Cross multiply
    82,562x = 129,699 × 129,699
  4. Step 4: Simplify right side
    82,562x = 16,821,830,601
  5. Step 5: Solve for x
    x = 16,821,830,601/82,562
  6. Step 6: Final answer
    x = 203,747.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.