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Finding the Third Proportional to 380,956 and 560,055

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Solution

The third proportional to 380,956 and 560,055 is: 823,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,956 : 560,055 = 560,055 : x
  2. Step 2: Convert to fraction form
    380,956/560,055 = 560,055/x
  3. Step 3: Cross multiply
    380,956x = 560,055 × 560,055
  4. Step 4: Simplify right side
    380,956x = 313,661,603,025
  5. Step 5: Solve for x
    x = 313,661,603,025/380,956
  6. Step 6: Final answer
    x = 823,353.89

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.