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Finding the Third Proportional to 393,522 and 869,736

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Solution

The third proportional to 393,522 and 869,736 is: 1,922,232.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,522 : 869,736 = 869,736 : x
  2. Step 2: Convert to fraction form
    393,522/869,736 = 869,736/x
  3. Step 3: Cross multiply
    393,522x = 869,736 × 869,736
  4. Step 4: Simplify right side
    393,522x = 756,440,709,696
  5. Step 5: Solve for x
    x = 756,440,709,696/393,522
  6. Step 6: Final answer
    x = 1,922,232.33

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.