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Finding the Third Proportional to 384,220 and 843,172

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Solution

The third proportional to 384,220 and 843,172 is: 1,850,343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,220 : 843,172 = 843,172 : x
  2. Step 2: Convert to fraction form
    384,220/843,172 = 843,172/x
  3. Step 3: Cross multiply
    384,220x = 843,172 × 843,172
  4. Step 4: Simplify right side
    384,220x = 710,939,021,584
  5. Step 5: Solve for x
    x = 710,939,021,584/384,220
  6. Step 6: Final answer
    x = 1,850,343.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.