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Finding the Third Proportional to 382,822 and 824,145

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Solution

The third proportional to 382,822 and 824,145 is: 1,774,231.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,822 : 824,145 = 824,145 : x
  2. Step 2: Convert to fraction form
    382,822/824,145 = 824,145/x
  3. Step 3: Cross multiply
    382,822x = 824,145 × 824,145
  4. Step 4: Simplify right side
    382,822x = 679,214,981,025
  5. Step 5: Solve for x
    x = 679,214,981,025/382,822
  6. Step 6: Final answer
    x = 1,774,231.84

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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.