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Finding the Third Proportional to 69,376.50 and 141,345

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Solution

The third proportional to 69,376.50 and 141,345 is: 287,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,376.50 : 141,345 = 141,345 : x
  2. Step 2: Convert to fraction form
    69,376.50/141,345 = 141,345/x
  3. Step 3: Cross multiply
    69,376.50x = 141,345 × 141,345
  4. Step 4: Simplify right side
    69,376.50x = 19,978,409,025
  5. Step 5: Solve for x
    x = 19,978,409,025/69,376.50
  6. Step 6: Final answer
    x = 287,970.84

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.