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Finding the Third Proportional to 211,760 and 318,112

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Solution

The third proportional to 211,760 and 318,112 is: 477,877.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,760 : 318,112 = 318,112 : x
  2. Step 2: Convert to fraction form
    211,760/318,112 = 318,112/x
  3. Step 3: Cross multiply
    211,760x = 318,112 × 318,112
  4. Step 4: Simplify right side
    211,760x = 101,195,244,544
  5. Step 5: Solve for x
    x = 101,195,244,544/211,760
  6. Step 6: Final answer
    x = 477,877.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.