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Finding the Third Proportional to 84,404 and 131,790

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Solution

The third proportional to 84,404 and 131,790 is: 205,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,404 : 131,790 = 131,790 : x
  2. Step 2: Convert to fraction form
    84,404/131,790 = 131,790/x
  3. Step 3: Cross multiply
    84,404x = 131,790 × 131,790
  4. Step 4: Simplify right side
    84,404x = 17,368,604,100
  5. Step 5: Solve for x
    x = 17,368,604,100/84,404
  6. Step 6: Final answer
    x = 205,779.40

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.