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Finding the Third Proportional to 405,387 and 869,814

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Solution

The third proportional to 405,387 and 869,814 is: 1,866,306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,387 : 869,814 = 869,814 : x
  2. Step 2: Convert to fraction form
    405,387/869,814 = 869,814/x
  3. Step 3: Cross multiply
    405,387x = 869,814 × 869,814
  4. Step 4: Simplify right side
    405,387x = 756,576,394,596
  5. Step 5: Solve for x
    x = 756,576,394,596/405,387
  6. Step 6: Final answer
    x = 1,866,306.50

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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.