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Finding the Third Proportional to 211,936.75 and 320,065.13

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Solution

The third proportional to 211,936.75 and 320,065.13 is: 483,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,936.75 : 320,065.13 = 320,065.13 : x
  2. Step 2: Convert to fraction form
    211,936.75/320,065.13 = 320,065.13/x
  3. Step 3: Cross multiply
    211,936.75x = 320,065.13 × 320,065.13
  4. Step 4: Simplify right side
    211,936.75x = 102,441,684,241.27
  5. Step 5: Solve for x
    x = 102,441,684,241.27/211,936.75
  6. Step 6: Final answer
    x = 483,359.70

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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.