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Finding the Third Proportional to 285,822 and 620,856

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Solution

The third proportional to 285,822 and 620,856 is: 1,348,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,822 : 620,856 = 620,856 : x
  2. Step 2: Convert to fraction form
    285,822/620,856 = 620,856/x
  3. Step 3: Cross multiply
    285,822x = 620,856 × 620,856
  4. Step 4: Simplify right side
    285,822x = 385,462,172,736
  5. Step 5: Solve for x
    x = 385,462,172,736/285,822
  6. Step 6: Final answer
    x = 1,348,609.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.