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Finding the Third Proportional to 29,491 and 61,715

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Solution

The third proportional to 29,491 and 61,715 is: 129,149.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,491 : 61,715 = 61,715 : x
  2. Step 2: Convert to fraction form
    29,491/61,715 = 61,715/x
  3. Step 3: Cross multiply
    29,491x = 61,715 × 61,715
  4. Step 4: Simplify right side
    29,491x = 3,808,741,225
  5. Step 5: Solve for x
    x = 3,808,741,225/29,491
  6. Step 6: Final answer
    x = 129,149.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.