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Finding the Third Proportional to 30,822 and 66,326

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Solution

The third proportional to 30,822 and 66,326 is: 142,727.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,822 : 66,326 = 66,326 : x
  2. Step 2: Convert to fraction form
    30,822/66,326 = 66,326/x
  3. Step 3: Cross multiply
    30,822x = 66,326 × 66,326
  4. Step 4: Simplify right side
    30,822x = 4,399,138,276
  5. Step 5: Solve for x
    x = 4,399,138,276/30,822
  6. Step 6: Final answer
    x = 142,727.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.