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Finding the Third Proportional to 211,512 and 290,040

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Solution

The third proportional to 211,512 and 290,040 is: 397,723.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,512 : 290,040 = 290,040 : x
  2. Step 2: Convert to fraction form
    211,512/290,040 = 290,040/x
  3. Step 3: Cross multiply
    211,512x = 290,040 × 290,040
  4. Step 4: Simplify right side
    211,512x = 84,123,201,600
  5. Step 5: Solve for x
    x = 84,123,201,600/211,512
  6. Step 6: Final answer
    x = 397,723.07

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.