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Finding the Third Proportional to 211,899 and 320,008.50

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Solution

The third proportional to 211,899 and 320,008.50 is: 483,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,899 : 320,008.50 = 320,008.50 : x
  2. Step 2: Convert to fraction form
    211,899/320,008.50 = 320,008.50/x
  3. Step 3: Cross multiply
    211,899x = 320,008.50 × 320,008.50
  4. Step 4: Simplify right side
    211,899x = 102,405,440,072.25
  5. Step 5: Solve for x
    x = 102,405,440,072.25/211,899
  6. Step 6: Final answer
    x = 483,274.77

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Why These Related Problems?

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