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Finding the Third Proportional to 224,577.75 and 339,206.75

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Solution

The third proportional to 224,577.75 and 339,206.75 is: 512,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,577.75 : 339,206.75 = 339,206.75 : x
  2. Step 2: Convert to fraction form
    224,577.75/339,206.75 = 339,206.75/x
  3. Step 3: Cross multiply
    224,577.75x = 339,206.75 × 339,206.75
  4. Step 4: Simplify right side
    224,577.75x = 115,061,219,245.56
  5. Step 5: Solve for x
    x = 115,061,219,245.56/224,577.75
  6. Step 6: Final answer
    x = 512,344.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.