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Finding the Third Proportional to 144,451 and 211,326

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Solution

The third proportional to 144,451 and 211,326 is: 309,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,451 : 211,326 = 211,326 : x
  2. Step 2: Convert to fraction form
    144,451/211,326 = 211,326/x
  3. Step 3: Cross multiply
    144,451x = 211,326 × 211,326
  4. Step 4: Simplify right side
    144,451x = 44,658,678,276
  5. Step 5: Solve for x
    x = 44,658,678,276/144,451
  6. Step 6: Final answer
    x = 309,161.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.