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Finding the Third Proportional to 140,224.50 and 304,110

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Solution

The third proportional to 140,224.50 and 304,110 is: 659,534.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,224.50 : 304,110 = 304,110 : x
  2. Step 2: Convert to fraction form
    140,224.50/304,110 = 304,110/x
  3. Step 3: Cross multiply
    140,224.50x = 304,110 × 304,110
  4. Step 4: Simplify right side
    140,224.50x = 92,482,892,100
  5. Step 5: Solve for x
    x = 92,482,892,100/140,224.50
  6. Step 6: Final answer
    x = 659,534.48

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.