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Finding the Third Proportional to 405,544 and 882,439

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Solution

The third proportional to 405,544 and 882,439 is: 1,920,133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,544 : 882,439 = 882,439 : x
  2. Step 2: Convert to fraction form
    405,544/882,439 = 882,439/x
  3. Step 3: Cross multiply
    405,544x = 882,439 × 882,439
  4. Step 4: Simplify right side
    405,544x = 778,698,588,721
  5. Step 5: Solve for x
    x = 778,698,588,721/405,544
  6. Step 6: Final answer
    x = 1,920,133.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.