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Finding the Third Proportional to 117,162 and 252,123.75

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Solution

The third proportional to 117,162 and 252,123.75 is: 542,551.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,162 : 252,123.75 = 252,123.75 : x
  2. Step 2: Convert to fraction form
    117,162/252,123.75 = 252,123.75/x
  3. Step 3: Cross multiply
    117,162x = 252,123.75 × 252,123.75
  4. Step 4: Simplify right side
    117,162x = 63,566,385,314.06
  5. Step 5: Solve for x
    x = 63,566,385,314.06/117,162
  6. Step 6: Final answer
    x = 542,551.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.