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Finding the Third Proportional to 405,392 and 869,822

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Solution

The third proportional to 405,392 and 869,822 is: 1,866,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,392 : 869,822 = 869,822 : x
  2. Step 2: Convert to fraction form
    405,392/869,822 = 869,822/x
  3. Step 3: Cross multiply
    405,392x = 869,822 × 869,822
  4. Step 4: Simplify right side
    405,392x = 756,590,311,684
  5. Step 5: Solve for x
    x = 756,590,311,684/405,392
  6. Step 6: Final answer
    x = 1,866,317.82

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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.