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Finding the Third Proportional to 211,576 and 290,120

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Solution

The third proportional to 211,576 and 290,120 is: 397,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,576 : 290,120 = 290,120 : x
  2. Step 2: Convert to fraction form
    211,576/290,120 = 290,120/x
  3. Step 3: Cross multiply
    211,576x = 290,120 × 290,120
  4. Step 4: Simplify right side
    211,576x = 84,169,614,400
  5. Step 5: Solve for x
    x = 84,169,614,400/211,576
  6. Step 6: Final answer
    x = 397,822.13

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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.