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Finding the Third Proportional to 394,822 and 866,460

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Solution

The third proportional to 394,822 and 866,460 is: 1,901,497.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,822 : 866,460 = 866,460 : x
  2. Step 2: Convert to fraction form
    394,822/866,460 = 866,460/x
  3. Step 3: Cross multiply
    394,822x = 866,460 × 866,460
  4. Step 4: Simplify right side
    394,822x = 750,752,931,600
  5. Step 5: Solve for x
    x = 750,752,931,600/394,822
  6. Step 6: Final answer
    x = 1,901,497.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.