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Finding the Third Proportional to 405,396 and 869,830

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Solution

The third proportional to 405,396 and 869,830 is: 1,866,333.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,396 : 869,830 = 869,830 : x
  2. Step 2: Convert to fraction form
    405,396/869,830 = 869,830/x
  3. Step 3: Cross multiply
    405,396x = 869,830 × 869,830
  4. Step 4: Simplify right side
    405,396x = 756,604,228,900
  5. Step 5: Solve for x
    x = 756,604,228,900/405,396
  6. Step 6: Final answer
    x = 1,866,333.73

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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.