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Finding the Third Proportional to 71,690 and 107,412

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Solution

The third proportional to 71,690 and 107,412 is: 160,933.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,690 : 107,412 = 107,412 : x
  2. Step 2: Convert to fraction form
    71,690/107,412 = 107,412/x
  3. Step 3: Cross multiply
    71,690x = 107,412 × 107,412
  4. Step 4: Simplify right side
    71,690x = 11,537,337,744
  5. Step 5: Solve for x
    x = 11,537,337,744/71,690
  6. Step 6: Final answer
    x = 160,933.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.