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Finding the Third Proportional to 128,560.50 and 279,234

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Solution

The third proportional to 128,560.50 and 279,234 is: 606,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,560.50 : 279,234 = 279,234 : x
  2. Step 2: Convert to fraction form
    128,560.50/279,234 = 279,234/x
  3. Step 3: Cross multiply
    128,560.50x = 279,234 × 279,234
  4. Step 4: Simplify right side
    128,560.50x = 77,971,626,756
  5. Step 5: Solve for x
    x = 77,971,626,756/128,560.50
  6. Step 6: Final answer
    x = 606,497.54

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Why These Related Problems?

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